Fred Van Oystaeyen

Fred Van Oystaeyen's AcademicInfluence.com Rankings

Fred Van Oystaeyen

Mathematics

#782

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#1412

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Measure Theory

#2161

World Rank

#2605

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Mathematics

Fred Van Oystaeyen's Degrees

PhD Mathematics University of Antwerp
Masters Mathematics University of Antwerp

Why Is Fred Van Oystaeyen Influential?

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According to Wikipedia, Fred Van Oystaeyen , also Freddy van Oystaeyen, is a mathematician and emeritus professor of mathematics at the University of Antwerp. He has pioneered work on noncommutative geometry, in particular noncommutative algebraic geometry.

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Fred Van Oystaeyen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Graded ring theory (1982) (697)
Methods of Graded Rings (2004) (436)
Separable functors applied to graded rings (1989) (149)
Graded and Filtered Rings and Modules (1979) (142)
The Brauer group of a braided monoidal category (1998) (88)
Two Dimensional Tame and Maximal Orders of Finite Representation Type (1989) (88)
Dimensions of Ring Theory (1987) (75)
Prime spectra in non-commutative algebra (1975) (70)
Algebraic Geometry for Associative Algebras (2000) (70)
ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS (2005) (67)
The Green rings of Taft algebras (2011) (64)
A new algebraic approach to microlocalization of filtered rings (1989) (63)
Differentiable functions of quaternion variables (2002) (63)
Quantum Yang-Baxter module algebras (1994) (62)
Modules graded byG-sets (1990) (62)
Generalized Diagonal Crossed Products and Smash Products for Quasi-Hopf Algebras. Applications (2005) (60)
L-R-smash product for (quasi) Hopf algebras ∗ (2005) (54)
Quasi-Hopf Algebras (2019) (51)
Brauer Groups and the Cohomology of Graded Rings (1988) (50)
The Simple Modules of Certain Generalized Crossed Products (1997) (49)
Representations and Cocycle Twists of Color Lie Algebras (2004) (47)
General twisting of algebras (2006) (43)
The Wedderburn-Malcev theorem for comodule algebras (1999) (43)
Quiver Hopf algebras (2004) (43)
The Goldie Theorem for H-semiprime algebras (2006) (39)
Pseudosymmetric braidings, twines and twisted algebras (2008) (38)
Non-commutative algebraic geometry (1981) (38)
Hochschild Cohomology and the Coradical Filtration of Pointed Coalgebras: Applications (1998) (37)
Relative Invariants of Rings: The Commutative Theory (1983) (35)
On strongly graded rings and crossed products (1982) (34)
Grothendieck topology, coherent sheaves and Serre's theorem for schematic algebras (1995) (33)
Noncommutative localization and sheaves (1975) (32)
A structure theorem for quasi-Hopf comodule algebras (2005) (31)
Existence of integrals for finite dimensional quasi-Hopf algebras (2000) (30)
Quantum traces and quantum dimensions for quasi-Hopf algebras (1999) (29)
Cocommutative Calabi–Yau Hopf algebras and deformations (2009) (28)
The Brauer group of Sweedler’s Hopf algebra ₄ (2000) (28)
Graded almost noetherian rings and applications to coalgebras (2002) (27)
Graded rings over arithmetical orders (1984) (27)
Introducing Crystalline Graded Algebras (2006) (26)
Quasitriangular structures for some pointed hopf algebras of dimension 2n (1999) (26)
Reflectors and Localization Application to Sheaf Theory (1979) (26)
Krull Dimension of Generalized Weyl Algebras and Iterated Skew Polynomial Rings: Commutative Coefficients☆ (1998) (25)
Prime Divisors and Noncommutative Valuation Theory (2012) (25)
Quasi-Hopf algebras and representations of octonions and other quasialgebras (2004) (25)
Arithmetically graded rings revisited (1986) (24)
Simple modules of the Witten–Woronowicz algebra (2004) (24)
Generalized Rees rings and relative maximal orders satisfying polynomial identities (1983) (24)
On the (co)homology of Frobenius Poisson algebras (2013) (24)
On Clifford systems and generalized crossed products (1984) (23)
Methods in Ring Theory (2021) (23)
Simple Holonomic Modules over the Second Weyl Algebra A2 (2000) (22)
Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 17-28, 1981 (1982) (21)
Filtrations on simple Artinian rings (1990) (21)
Lifting maximal orders (1989) (20)
Quasi-Frobenius-Lusztig kernels for simple Lie algebras (2013) (20)
Galois-type correspondences for Hopf Galois extensions (1994) (19)
The Brauer splitting theorem and projective representations of finite groups over rings (1988) (19)
Zariski central rings (1978) (19)
Perspectives in ring theory (1988) (17)
HOPF ALGEBRA ACTIONS ON DIFFERENTIAL GRADED ALGEBRAS AND APPLICATIONS (2010) (17)
Notes for an Introduction to Kontsevich’s quantization theorem (2005) (17)
Skew polynomial algebras with coefficients in Koszul Artin-Schelter regular algebras (2013) (17)
Representations of the small quasi-quantum group ${\operatorname{Q}}\mathbf{u}_{q}(\mathfrak{sl}_{2})$ (2016) (17)
Generalized rees rings and arithmetical graded rings (1983) (17)
The Green rings of pointed tensor categories of finite type (2013) (16)
The simple modules of the Lie superalgebra osp(1,2) (2000) (16)
Discrete Valuations Extend to Certain Algebras of Quantum Type (1996) (16)
Gradings of finite support. Application to injective objects (1996) (15)
Crossed products over arithmetically graded rings (1983) (15)
The projective Schur subgroup of the Brauer group and root groups of finite groups (1991) (15)
Group Graded Rings, Smash Products and Additive Categories (1988) (14)
Graded modules overG-sets II (1991) (14)
Examples and quantum sections of schematic algebras (1997) (13)
Finite generalized crossed products over tame and maximal orders (1986) (13)
About graded fields (1981) (13)
Graded azumaya algebras and brauer groups (1980) (12)
H-module endomorphism rings (1995) (12)
Note on the cohomology of color Hopf and Lie algebras (2005) (12)
Relative localization; bimodules and semiprime P.I. rings (1979) (12)
Azumaya strongly graded rings and ray classes (1986) (12)
L-R-smash biproducts, double biproducts and a braided category of Yetter-Drinfeld-Long bimodules (2008) (12)
Birational hereditary noetherian prime rings (1980) (11)
Graded Rings and Orders (1988) (11)
Valuations on Extensions of Weyl Skew Fields (1996) (11)
Noncommutative Structures in Mathematics and Physics (2010) (11)
Some Bialgebroids Constructed by Kadison and Connes–Moscovici are Isomorphic (2005) (11)
Twisted algebras and Rota-Baxter type operators (2015) (11)
Cohomology of Schematic Algebras (1996) (11)
Localization of fully left bounded rings (1976) (11)
A Note on Generalized Clifford Algebras and Representations (1989) (11)
Inductions and coinductions for Hopf extensions (1996) (11)
The Brauer Group of a Hopf Algebra (2002) (11)
Saturated Kochen–Specker-type configuration of 120 projective lines in eight-dimensional space and its group of symmetry (2005) (11)
Jacobson radicals and maximal ideals of normalizing extensions applied to Z-graded rings (1982) (10)
An introduction of fragmented structures over filtered rings (1995) (10)
Dehomogenization of gradings to Zariskian filtrations and applications to invertible ideals (1992) (10)
Hopf dense Galois extensions with applications (2015) (10)
Quantum sections and gauge algebras (1992) (10)
Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras (2013) (10)
Non-commutative Algebraic Geometry: An Introduction (1981) (10)
Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences (1984) (10)
COMPUTING SUBGROUPS OF THE BRAUER GROUP OF H 4 (2002) (9)
Some remarks on a theorem of H.-J. Schneider (1996) (9)
Quadratic forms with values in invertible modules (1993) (9)
DERIVED H-MODULE ENDOMORPHISM RINGS (2010) (9)
Induction functors and stable Clifford theory for Hopf modules (1996) (9)
Fragments with finiteness conditions in particular over group rings (2000) (9)
Finite Groups over Arithmetical Rings and Globally Irreducible Representations (1999) (8)
On some classes of lazy cocycles and categorical structures (2005) (8)
Global dimension and regularity of rees rings for non-zariskian filtrations (1990) (8)
A Measurable Model of the Creative Process in the Context of a Learning Process (2016) (8)
Some constructions of rings (1984) (8)
The crossed coproduct theorem and Galois cohomology (1996) (8)
On schur rings of group rings of finite groups (1992) (8)
A note on noncommutative krull domains (1986) (7)
When is a Coalgebra a Generator? (2008) (7)
Extension of ideals under symmetric localization (1975) (7)
Genus and a riemann-roch theorem for non-commutative function fields in one variable (1981) (7)
Strongly filtered rings applied to Gabber's integrability theorem and modules with regular singularities (1989) (7)
Primes in algebras over fields (1974) (7)
V-Categories: Applications to Graded Rings (2009) (7)
Glider Representations of Group Algebra Filtrations of Nilpotent Groups (2016) (7)
On filtered rings with noetherian associated graded rings (1988) (7)
Localization of presheaves of modules (1976) (6)
Localization of Sheaves of Modules (1976) (6)
A Primer of Algebraic Geometry: Constructive Computational Methods (2000) (6)
Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields (2011) (6)
Ring theory : proceedings of the 1977 Antwerp conference (1978) (6)
On the Brauer group of a projective variety (1982) (6)
Virtual topology and functor geometry (2007) (6)
Zariski rings and flatness of completion (1991) (6)
Fully bounded grothendieck categories part II: Graded modules (1981) (6)
Comodules graded by g–sets and applications (1997) (6)
On brauer groups of arithmetical graded rings (1981) (5)
Control subgroups for group graded rings (1992) (5)
Coherent sheaves over micro-structure sheaves (1993) (5)
Crossed products over graded local rings (1982) (5)
Duality Theorems for Graded Algebras and Coalgebras (1997) (5)
Splitting and crossed products in relative brauer groups (1983) (5)
Divisorially graded rings, related groups, and sequences (1987) (5)
Coflat monomorphisms of coalgebras (1998) (5)
Hopf filtrations and Larson-type orders in Hopf algebras (2003) (5)
PBW deformations of Koszul algebras over a nonsemisimple ring (2013) (5)
Local-global results for regular rings (1976) (5)
Twisted algebras, twisted bialgebras and Rota-Baxter type operators (2015) (5)
Symmetric kernel functors and quasi-primes (1975) (5)
Graded rings with finiteness conditions, II (1985) (5)
Noncommutative Algebra and Geometry (2005) (5)
On the Generalized Enveloping Algebra of a Color Lie Algebra (2005) (4)
New families of finite coherent orthoalgebras without bivaluations (2006) (4)
Grothendieck representations of categories and canonical noncommutative topologies (2002) (4)
Note on graded rings with finiteness conditions (1984) (4)
The Gelfand-Kirillov Dimension (1987) (4)
MODULE CHARACTERS AND PROJECTIVE-REPRESENTATIONS OF FINITE-GROUPS (1991) (4)
Projective aspects of fragments over filtered rings (1996) (4)
Generalized twisted group rings of finite groups (1999) (4)
Cancellative semigroup rings which are Azumaya algebras (1988) (4)
Calabi-Yau algebras and their deformations (2013) (4)
The Categories of Yetter—Drinfel’d Modules, Doi—Hopf Modules and Two-sided Two-cosided Hopf Modules (1998) (4)
Localization at primes in algebras over fields (1977) (4)
Extending coherent and quasi-coherent sheaves on generically closed spaces (1984) (4)
Finite-dimensional Hopf algebras coacting on coalgebras (1998) (4)
The Brauer Group of Irreducible Coalgebras (2001) (4)
Note on the torsion theory at a prime ideal of a left noetherian ring (1975) (4)
Mathematical aspects of real plant modelling (1996) (4)
Localizations and sheaves of glider representations (2016) (4)
Pointwise localization in presheaf categories (1977) (3)
Mathematical methods of robotics — editorial (1994) (3)
Quasi-elementary H-Azumaya Algebras Arising from Generalized (Anti) Yetter-Drinfeld Modules (2008) (3)
Interactions between ring theory and representations of algebras : proceedings of the conference held in Murcia, Spain (2000) (3)
Maximal graded orders over crystalline graded rings (2009) (3)
Note on theK0 of rings with Zariskian filtration (1990) (3)
Calabi-Yau extension and localization of Koszul regular algebras (2014) (3)
Addendum stalks of sheaves over the spectra of certain inionconmutative rings (1977) (3)
Simple holonomic modules over rings of differential operators with regular coefficients of Krull dimension 2 (2001) (3)
The p-component of the brauer group of a field of characteristic p≠0 (1974) (3)
Hopf Algebras in Noncommutative Geometry and Physics (2019) (3)
Generalized twisted group rings (2005) (3)
8. Localization of Graded Rings (2004) (3)
Relating homological dimensions to relative homological dimensions (1987) (3)
Dimension of Crystalline Graded Rings (2009) (3)
A note on the socle of graded modules (1985) (3)
The equivariant Brauer group of a group (2004) (3)
Invariants of coalgebras (2001) (2)
Proj of generic matrices and trace rings (1986) (2)
QUIVERS AND HOPF ALGEBRAS (2003) (2)
The quantum site of a schematic algebra (1996) (2)
Certain applications of the Burnside rings and ghost rings in the representation theory of finite groups. I. (1996) (2)
Derivations of pi-algebras and smoothness of noncommutative curves (1983) (2)
On the Brauer group of a projective curve (1982) (2)
Derivations of graded rings and Clifford systems (1986) (2)
Quasi‐Hopf Algebras and the Centre of a Tensor Category (2019) (2)
3. Modules over Strongly Graded Rings (2004) (2)
Micro-structure sheaves, formal scheaves and quantum sections over projective schemes (1992) (2)
Note on Central Class Groups of Orders over Krull Domains (1984) (2)
Invariance under twisting (2007) (1)
DUALITIES OF ARTINIAN COALGEBRAS WITH APPLICATIONS TO NOETHERIAN COMPLETE ALGEBRAS (2010) (1)
Endomorphism Rings of $H$-comodule Algebras (1996) (1)
Work in progress, [91] (1981) (1)
Graded prime ideals and the left ore condition (1980) (1)
Smash products for {$G$}-sets, Clifford theory and duality theorems (1995) (1)
Sign gradations on group ring extensions of graded rings (1993) (1)
Good Reduction of Good Filtrations at Places (2004) (1)
Note on inertia properties of filtrations on group graded rings and modules (1992) (1)
Pure lazy cocycles and entwined monoidal categories (2005) (1)
Zariski extensions and biregular rings (1980) (1)
Noncommutative space from dynamical noncommutative geometries (2009) (1)
Generalized Maximal Orders (2009) (1)
Some noncommutative Algebra (1981) (1)
Graded p.i. Rings and nonccmmutative projective schemes (1981) (1)
Elimination of Variables in Linear Solvable Polynomial Algebras and ∂-Holonomicity (2000) (1)
Filtered rings and modules (1996) (1)
4. Graded Clifford Theory (2004) (1)
Finite Dimensional Hopf Algebras Coacting on (1998) (1)
Arithmetical pseudo-valuations associated to Dubrovin valuation rings and prime divisors of bounded Krull domains (2013) (1)
Maximal Orders and Primes (2012) (1)
Residual properties of graded algebras over domains (1997) (1)
A note on left balanced rings (1976) (0)
A bstract QUANTUM SECTIONS AND GAUGE ALGEBRAS (2006) (0)
Some applications of graded ring theory (1986) (0)
Abelian Group Clifford Algebras (2009) (0)
A ] 11 M ay 2 00 6 ON ITERATED TWISTED TENSOR PRODUCTS OF ALGEBRAS (0)
The finishing touch on localization (1981) (0)
Commutative Arithmetical Graded Rings (1988) (0)
A MEASURABLE MATHEMATICAL MODEL FOR PROCESSES (2015) (0)
Symmetric kernel functors (1975) (0)
Grothendieck Categorical Representations (2007) (0)
Coherent and quasicoherent sheaves of modules over an algebraic k-variety (1981) (0)
Calabi-Yau algebras (2010) (0)
Division algebras in linear Gr-categories (2014) (0)
Algebraic structures as seen on the Weyl Algebra (2013) (0)
Hopf algebras and quantum groups : proceedings of the Brussels conference (2000) (0)
On the relation between localization of groups and group rings (1976) (0)
2. The Category of Graded Modules (2004) (0)
Ring theory : proceedings of an international conference held in Antwerp, April 1-5, 1985 (1986) (0)
Some Problems on Associative Rings (1988) (0)
Glider Representations of Group Algebra Filtrations of Nilpotent Groups (2017) (0)
7. Smash Products (2004) (0)
Representations of the small quasi-quantum group ${Q}\mathbf{u}_{q}(\mathfrak{sl}_{2})$ (2014) (0)
Cohomology of surfaces $X\subseteq P^r$ with degree $\leq2r-2$ (1999) (0)
Representation theory revisited (1981) (0)
Sheaves and Dynamical Topology (2007) (0)
Unramified reductors of filtered and graded algebras (2006) (0)
Temporal Topos and U-Singularities (2012) (0)
Krull Dimension and Gabriel Dimension of Rings and Modules (1987) (0)
General Theory of Primes (2012) (0)
Krull Dimension and Gabriel Dimension of an Ordered Set (1987) (0)
Local conditions for Noetherian graded rings (1979) (0)
Birationality and quasivarieties (1981) (0)
A pr 2 00 5 Note on Cohomology of Color Hopf and Lie Algebras (2008) (0)
Finiteness Conditions for Lattices (1987) (0)
Rings of Finite Global Dimension (1987) (0)
Automorphisms of Finite Orthoalgebras, Exceptional Root Systems and Quantum Mechanics (2009) (0)
Finiteness Conditions for Modules (1987) (0)
A note on filtrations and valuations for ordered groups (2000) (0)
1. The Category of Graded Rings (2004) (0)
Quasi-Hopf Bimodule Categories (2019) (0)
Commutative algebra and algebraic geometry : proceedings of the Ferrara meeting in honor of Mario Fiorentini (1999) (0)
Microlocalization of Filtered Rings and Modules, Quantum Sections and Gauge Algebras (1996) (0)
The Center of Crystalline Graded Rings (2009) (0)
Hopf Algebras and Quantum Groups (2019) (0)
Auslander Regular Filtered (Graded) Rings (1996) (0)
Coinduced functors and semi-invariants for Hopf algebras (1993) (0)
On $M$-sequences associated to filtrations (1990) (0)
Topics in graded ring theory (1979) (0)
9. Application to Gradability (2004) (0)
5. Internal Homogenization (2004) (0)
Krull Dimension of Noetherian Rings. The Principal Ideal Theorem (1987) (0)
J an 2 01 4 CALABI-YAU EXTENSIONS AND LOCALIZATIONS OF KOSZUL REGULAR ALGEBRAS (2014) (0)
Brauer groups of fields (1988) (0)
Looking for a noncommutative geometry... again (1995) (0)
The strong Brauer group of a cocommutative coalgebra (2002) (0)
Relative Krull and Gabriel Dimensions (1987) (0)
Artihmetically Graded Rings over Orders (1988) (0)
Dequantization of Noncommutative Spaces and Dynamical Noncommutative Geometry (2006) (0)
AND MQRITA-TAKEUCHI CONTEXTS (1995) (0)
Extensions of Valuations to Quantized Algebras (2012) (0)
Presheaves over lattices: application to twisted limits of finite groups. (1997) (0)
Structure sheaves and schemes (1981) (0)
A non-commutative version of the riemann-roch theorem for curves (1981) (0)
Clifford theory for subgroups of grading groups (1993) (0)
6. External Homogenization (2004) (0)
Ring theory, Antwerp, 1980 : proceedings, University of Antwerp, U.I.A., Antwerp, Belgium, May 6-9, 1980 (1980) (0)
Hopf actions on Koszul twisted Calabi-Yau algebras and their PBW deformations (2014) (0)
Schur rings and invariant subrings of group rings (1995) (0)
Rings with Krull Dimension (1987) (0)
Products, subvarieties etc... (1981) (0)
Quotient Grothendieck Representations (2005) (0)
REGULARITY AND GENERALIZED INVERTIBILITY IN GRADED RINGS (2008) (0)
Application: The symmetric part of the brauer group (1975) (0)

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