László Fuchs | Academic Influence

László Fuchs's AcademicInfluence.com Rankings

László Fuchs

Mathematics

#1295

World Rank

#2164

Historical Rank

#538

USA Rank

Ring Theory

#4

World Rank

#6

Historical Rank

#1

USA Rank

Algebra

#50

World Rank

#87

Historical Rank

#18

USA Rank

Measure Theory

#1219

World Rank

#1549

Historical Rank

#442

USA Rank

mathematics Degrees

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Mathematics

László Fuchs's Degrees

PhD Mathematics University of Chicago
Masters Mathematics Eötvös Loránd University
Bachelors Mathematics Eötvös Loránd University

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Why Is László Fuchs Influential?

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According to Wikipedia, László Fuchs is a Hungarian-born American mathematician, the Evelyn and John G. Phillips Distinguished Professor Emeritus in Mathematics at Tulane University. He is known for his research and textbooks in group theory and abstract algebra.

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László Fuchs'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

Infinite Abelian groups (1970) (2069)
Partially Ordered Algebraic Systems (2011) (474)
Modules over non-Noetherian domains (2000) (458)
Modules over valuation domains (1985) (224)
Baer modules over domains (1990) (46)
Commutative ideal theory without finiteness conditions: Primal ideals (2004) (45)
Vector spaces with valuations (1975) (42)
Abelian Group Theory (1987) (40)
Kaplansky’s problem on valuation rings (1989) (37)
Uniserial modules over valuation rings (1983) (36)
Baer modules over valuation domains (1988) (35)
On a substitution property of modules (1971) (34)
Infinite Goldie dimensions (1988) (32)
On generalized regular rings (1968) (31)
Whitehead Modules over Domains (1989) (30)
Quasi-projective abelian groups (1970) (29)
Neat submodules over integral domains (2012) (29)
Ideal theory in Prüfer domains —An unconventional approach (2002) (28)
COMMUTATIVE IDEAL THEORY WITHOUT FINITENESS CONDITIONS : (28)
THE FULLY INVARIANT EXTENDING PROPERTY FOR ABELIAN GROUPS (2001) (27)
On the cancellation of modules in direct sums over dedekind domains (1971) (27)
Commutative ideal theory without finiteness conditions : Completely irreducible ideals (2006) (27)
Butler groups of arbitrary cardinality (1993) (26)
COMMUTATIVE IDEAL THEORY WITHOUT FINITENESS CONDITIONS: IRREDUCIBILITY IN THE QUOTIENT FIELD (2005) (25)
On a class of butler groups (1991) (25)
Riesz vector spaces and Riesz algebras (1965) (23)
Arbitrarily large indecomposable divisible torsion modules over certain valuation domains (1986) (23)
TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS (2004) (23)
On divisible modules over domains (1992) (22)
A WEAKER FORM OF BAER'S SPLITTING PROBLEM OVER VALUATION DOMAINS (1991) (21)
Torsion preradicals and ascending Loewy series of modules. (1969) (21)
On the class semigroups of Prüfer domains (1999) (20)
Cellular Covers of Abelian Groups (2009) (20)
Almost perfect commutative rings (2018) (18)
Weak-injectivity and almost perfect domains (2009) (18)
Abelian p-groups and mixed groups (1980) (18)
ALMOST LOCALLY FLAT EMBEDDINGS OF S""1 IN Sn (1963) (18)
Note on ordered groups and rings (1958) (17)
Torsion-freeness and non-singularity over right p.p.-rings (2005) (16)
The hierarchy of uniserial modules over a valuation domain (1995) (15)
The cancellation property for modules (1972) (14)
Prebasic submodules over valuation rings (1982) (14)
Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank. (1973) (14)
Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday (1970) (13)
On partially ordered algebras I (1966) (13)
The extension of partially ordered groups (1950) (12)
Subfree valued vector spaces (1977) (11)
On lattice-ordered commutative semigroups (2003) (11)
S-divisible modules over domains (1992) (11)
Note on the extensions of Butler groups (1990) (10)
Note on fully ordered semigroups (1964) (10)
FROM A SINGLE CHAIN TO A LARGE FAMILY OF SUBMODULES (10)
Note on Linearly Compact Abelian Groups (1969) (10)
The Functor Hom and Cotorsion Theories (2009) (9)
A remark on lattice-ordered semigroups (1974) (9)
Modules with absolute endomorphism rings (2008) (9)
Abelian Groups and Noncommutative Rings: A Collection of Papers in Memory of Robert B. Warfield, Jr. (1992) (8)
On h-Divisible Torsion Modules over Domains (1986) (8)
On Projective Dimensions of Modules over Valuation Domains (1983) (8)
On Modules of Finite Projective Dimension over Valuation Domains (1984) (7)
Note on certain subgroups of products of infinite cyclic groups (1971) (7)
Separable torsion modules over valuation domains (1983) (7)
Butler groups that are unions of subgroups with countable typesets (1993) (7)
Large indecomposable modules in torsion theories (1987) (6)
Butler Modules Over Valuation Domains (1991) (6)
On polyserial modules over valuation domains (1987) (6)
Indecomposable Butler groups of large cardinalities (1991) (6)
On weak-injective modules over integral domains (2010) (6)
On torsion abelian groups quasi-projective over their endomorphism rings (1974) (6)
Large superdecomposable E(R)-algebras (2005) (6)
Lectures on Rings and Modules (1972) (5)
The Jordan–Zassenhaus Theorem and Direct Decompositions☆ (2000) (5)
Injective modules over Mori domains (2003) (5)
On a non-vanishing Ext (2004) (5)
On finite rank torsion-free modules over almost maximal valuation domains (1984) (5)
On elongations of totally projective $p$-groups by $p^{\omega +n}$-projective $p$-groups (1982) (5)
Primary decompositions over domains (1996) (5)
On divisible modules over valuation domains (1987) (5)
On strongly flat modules over Matlis domains (2004) (5)
Abelian groups : proceedings of the 1991 Curaçao conference (1993) (5)
CHAPTER VI – THE STRUCTURE OF p-GROUPS (1960) (4)
Note on the transitivity of pure essential extensions (1998) (4)
Butler groups of infinite rank (1995) (4)
Extensions of isomorphisms between subgroups (1981) (4)
Torsion-free modules of finite rank (2000) (4)
ALMOST TOTALLY INJECTIVE p-GROUPS (1976) (4)
On completely decomposable and separable modules over Prüfer domains (2010) (4)
ON MODULES OVER COMMUTATIVE RINGS (2017) (4)
-completions over domains with one-dimensional quotient field (1990) (4)
Note on the construction of free MV-algebras (2009) (4)
Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, I (1997) (3)
Note on Purity and Algebraic Compactness for Modules (1968) (3)
On abelian groups by which balanced extensions of a rational group split (1992) (3)
A generalization of separable torsion-free abelian groups (1985) (3)
On a duality of modules over valuation rings (1978) (3)
Primary decompositions of torsion modules over domains (1997) (3)
Cellular covers of totally ordered abelian groups (2011) (3)
On Almost totally injective p-groups and cotorsion groups (1979) (3)
Corank one subgroups of completely decomposable abelian groups (1994) (3)
Abelian p-groups of not limit Length (1977) (3)
Endomorphism rings of valued vector spaces (1981) (2)
Unions of slender groups (2006) (2)
Groups and Model Theory (2012) (2)
Completely decomposable pure subgroups of completely decomposable abelian groups (1994) (2)
Cotorsion and Tor Pairs and Finitistic Dimensions over Commutative Rings (2017) (2)
Superdecomposable E(R)-Algebras (2005) (2)
Note on extensions of abelian groups by primary groups (1973) (2)
Torsion-free extensions of butler groups by primary groups (1995) (2)
Test groups for Whitehead groups (2007) (2)
CHARACTERIZING ALMOST PERFECT RINGS BY COVERS AND ENVELOPES (2020) (2)
Proceedings of the Colloquium on Abelian Groups, Tihany (Hungary), September 1963 (1964) (1)
On abelian groups by which balanced extensions of a rational group split. II (1994) (1)
On inverse-direct systems of modules (2010) (1)
CHAPTER VIII – MIXED GROUPS (1960) (1)
CHAINS OF PROJECTIVE MODULES (2011) (1)
On the Cotorsion Pair (𝒫1, 𝒟) (2014) (1)
Direct Sums of Cyclic Groups (2015) (1)
Equivalent Categories of Divisible Modules (1990) (1)
More non-noetherian domains (2000) (1)
Denoetherianizing Cohen–Macaulay rings (2019) (1)
TORSION-FREE EXTENSIONS OF PROJECTIVE MODULES BY TORSION MODULES (2021) (1)
On modules over valuation domains whose finitely generated submodules are direct sums of cyclics (1988) (1)
THE ADDITIVE GROUP OF RINGS (1960) (1)
Abelian groups in which every serving subgroup is a direct summand (2022) (1)
De-noetherizing Cohen-Macaulay rings (2017) (1)
On the pure global dimension of valuation domains (1990) (1)
On reflections in abelian categories (1980) (1)
When all reduced strongly flat modules are projective (2014) (1)
Note on direct decompositions of torsion-free abelian groups (1971) (1)
A generalization of Baer's splitting problem on abelian groups (1989) (1)
Commutative domains and their modules (2000) (1)
Forcing Linearity Numbers for Abelian Groups (2004) (1)
Valuated butler groups of special type (1999) (1)
Reminiscences about George Grätzer and E. Tamás Schmidt (2008) (1)
Reinhold Baer and his influence on the theory of abelian groups (2003) (1)
Testing for Cotorsionness over Domains (2007) (0)
Extensions of Compact Abelian Groups by Discrete Ones and Their Duality Theory, II (2019) (0)
p-Groups with Elements of Infinite Height (2015) (0)
On the possibility of extending Hajós' theorem to infinite abelian groups (2022) (0)
CHAPTER XIV – THE LATTICE OF SUBGROUPS (1960) (0)
CHAPTER III – DIVISIBLE GROUPS (1960) (0)
On the global balanced-projective dimension of valuation domains (2003) (0)
CHAPTER XIII – THE MULTIPLICATIVE GROUP OF FIELDS (1960) (0)
Valuated Butler groups of finite rank (2006) (0)
Kaplansky's Problem on Valuation Rings@@@A Transfer Theorem for Nonstandard Uniserials@@@On a Conjecture regarding Nonstandard Uniserial Modules@@@Explicitly Non-Standard Uniserial Modules (2002) (0)
Direct Sums and Direct Products (2015) (0)
Groups, Modules, and Model Theory - Surveys and Recent Developments (2017) (0)
CHAPTER V – BASIC SUBGROUPS (1960) (0)
CHAPTER IV – DIRECT SUMMANDS AND PURE SUBGROUPS (1960) (0)
Four papers on uniserial modules (2002) (0)
- and pure-injectivity (2000) (0)
On groups with finite classes of isomorphic subgroups (2022) (0)
On chains of purely transcendental field extensions (1990) (0)
Abelian Groups in Hungary (2002) (0)
On Tight Submodules of Modules over Valuation Domains (2023) (0)
Algebraically Compact Groups (2015) (0)
Groups of Extensions and Cotorsion Groups (2015) (0)
Valued vector spaces and abelian $p$-groups (1977) (0)
Friedrich Wilhelm Levi, 1888–1966 (2022) (0)
CHAPTER XV – DECOMPOSITIONS INTO DIRECT SUMS OF SUBSETS (1960) (0)
Divisorial Elements in Lattice-Ordered Monoids (2005) (0)
Topology and filtration (2000) (0)
Picard groups of some module categories (2019) (0)
Neat submodules over integral domains (2012) (0)
Rings, Modules, Algebras (2002) (0)
Projectivity and projective dimension (2000) (0)
Divisibility and Injectivity (2015) (0)
Elementary Divisor Domains as Endomorphism Rings (2020) (0)
On the automorphism group of abelian $p$-groups (2022) (0)
Large indecomposable modules with many automorphisms (2007) (0)
Abelian Groups (2022) (0)
CHAPTER I – BASIC CONCEPTS. THE MOST IMPORTANT GROUPS (1960) (0)
Heights, invariants and basic submodules (2000) (0)
The zappa extension of partially ordered groups (1952) (0)
CHAPTER II – DIRECT SUM OF CYCLIC GROUPS (1960) (0)
CHAPTER XI – TENSOR PRODUCTS (1960) (0)
Book Review: Almost free modules. Set-theoretic methods (1993) (0)
CHAPTER VII – TORSION FREE GROUPS (1960) (0)
CHAPTER X – GROUP EXTENSIONS (1960) (0)
AT Number of indecomposable summands in direct decompositions of torsion-free abelian groups Number of Indecomposable Summands in Direct Decompositions of Torsion-Free Abelian Groups. (2019) (0)
Torsion-Free Groups (2015) (0)
On Rank One Mixed Abelian Groups with p^w+n-Projective p-Components (1980) (0)
Purity and Basic Subgroups (2015) (0)
Infinite rank torsion-free modules (2000) (0)
On torsion-free modules over valuation domains (2022) (0)
Abelian group theory : proceedings of the 1987 Perth Conference held August 9-14, 1987 (1989) (0)
On $P^{\omega +n}$-projective abelian $p$-groups (2022) (0)
Finitely generated modules (2000) (0)
On a new cotorsion pair (2020) (0)
Equivalent Presentations of Modules Over Prüfer Domains (1998) (0)
Reinhold Baer's work on abelian groups (1981) (0)
On partially ordered vector spaces with the Riesz interpolation property (2022) (0)
Artin’s Equivalence Generalized (2008) (0)
CHAPTER IX – HOMOMORPHISM GROUPS AND ENDOMORPHISM RINGS (1960) (0)
Tensor and Torsion Products (2015) (0)
When weak-injective modules decompose like injectives (2021) (0)
Groups in Rings and in Fields (2015) (0)
Butler Quotients of Torsion-free Abelian Groups Modulo Prebalanced Subgroups (2022) (0)
ORDERED POWER ASSOCIATIVE GROUPOIDS (2010) (0)
Torsion-Free Groups of Infinite Rank (2015) (0)
Weak and injective dimensional analogues of Kaplansky?s and Auslander's lemmas for purity (2021) (0)

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