Jan Trlifaj
#172,538
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Czech mathematician
Jan Trlifaj's AcademicInfluence.com Rankings
Jan Trlifajmathematics Degrees
Mathematics
#7823
World Rank
#10623
Historical Rank
Ring Theory
#10
World Rank
#13
Historical Rank
Algebra
#558
World Rank
#737
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Measure Theory
#3535
World Rank
#4174
Historical Rank
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Mathematics
Jan Trlifaj's Degrees
- PhD Mathematics Charles University
Why Is Jan Trlifaj Influential?
(Suggest an Edit or Addition)According to Wikipedia, Jan Trlifaj is a Professor of Mathematics at Charles University whose research interests include Commutative algebra, Homological algebra and Representation theory. Career and research Jan Trlifaj studied mathematics at the Faculty of Mathematics and Physics, Charles University, from which he received MSc. in 1979, Ph.D. in 1989 under Ladislav Bican. and Prof. of Mathematics in the field Algebra and number theory in 2009.
Jan Trlifaj'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
- Approximations and Endomorphism Algebras of Modules (2006) (545)
- How To Make Ext Vanish (2001) (273)
- Tilting Modules and Tilting Torsion Theories (1995) (170)
- Tilting Preenvelopes and Cotilting Precovers (2001) (89)
- Whitehead test modules (1996) (75)
- Tilting modules and Gorenstein rings (2006) (72)
- Covers Induced by Ext (2000) (66)
- Approximations and Endomorphism Algebras of Modules: Volume 1 - Approximations / Volume 2 - Predictions (2012) (60)
- Almost free modules and Mittag-Leffler conditions (2009) (56)
- COVERS, ENVELOPES, AND COTORSION THEORIES (2000) (54)
- Partial cotilting modules and the lattices induced by them (1997) (53)
- Dually slender modules and steady rings (1997) (52)
- Tilting theory and the finitistic dimension conjectures (2002) (51)
- Tilting, cotilting, and spectra of commutative noetherian rings (2012) (50)
- Cotilting and a Hierarchy of Almost Cotorsion Groups (2000) (50)
- Infinite dimensional tilting modules and cotorsion pairs (2007) (44)
- Model category structures arising from Drinfeld vector bundles (2009) (44)
- Tilting Cotorsion Pairs (2005) (42)
- Direct limits of modules of finite projective dimension (2004) (39)
- Every ∗-Module Is Finitely Generated (1994) (38)
- On the telescope conjecture for module categories (2008) (32)
- Classes of generalized ∗-modules (1994) (30)
- Divisible modules and localization (2005) (30)
- STEADY RINGS MAY CONTAIN LARGE SETS OF ORTHOGONAL IDEMPOTENTS (1995) (26)
- Approximations and the Little Finitistic Dimension of Artinian Rings (2001) (25)
- Strong incompactness for some nonperfect rings (1995) (25)
- Approximations and Mittag-Leffler conditions the applications (2016) (25)
- Tilting modules over small Dedekind domains (2002) (24)
- Completeness of cotorsion pairs (2007) (24)
- 'bottom'N as an abstract elementary class (2007) (21)
- Tilting classes over wild hereditary algebras (2005) (20)
- Steady ideals and rings (1997) (19)
- Almost *-modules need not be finitely generated (1993) (18)
- Ext and inverse limits (2003) (18)
- Perpendicular categories of infinite dimensional partial tilting modules and transfers of tilting torsion classes (2007) (18)
- Approximations and locally free modules (2012) (17)
- Generalized Hill Lemma, Kaplansky Theorem for Cotorsion Pairs And Some Applications (2009) (17)
- All tilting modules are of countable type (2007) (16)
- Descent of restricted flat Mittag–Leffler modules and generalized vector bundles (2011) (16)
- Von Neumann regular rings and the Whitehead property of modules (1990) (16)
- Large indecomposable roots of Ext (2001) (16)
- Kaplansky classes, finite character and ℵ1-projectivity (2012) (16)
- Tilting via torsion pairs and almost hereditary noetherian rings (2009) (14)
- Whitehead property of modules (1986) (13)
- Lattices of orthogonal theories (1989) (13)
- Dimension Estimates for Representable Equivalences of Module Categories (1997) (12)
- Baer and Mittag-Leffler modules over tame hereditary algebras (2007) (11)
- Cotilting modules over commutative Noetherian rings (2013) (11)
- Associative rings and the Whitehead property of modules (1990) (11)
- Test sets for factorization properties of modules (2019) (11)
- APPROXIMATIONS AND MITTAG-LEFFLER CONDITIONS (2014) (11)
- On the cogeneration of cotorsion pairs (2004) (11)
- Pure Projective Tilting Modules (2017) (10)
- Very flat, locally very flat, and contraadjusted modules☆ (2016) (10)
- Tilting for regular rings of Krull dimension two (2011) (9)
- Large tilting modules and representation type (2008) (7)
- Faith’s problem on $R$-projectivity is undecidable (2017) (7)
- Constructing tilting modules (2007) (7)
- On *-modules generating the injectives (1992) (6)
- Filtrations for the Roots of Ext (2007) (6)
- The Dual Baer Criterion for non-perfect rings (2019) (6)
- Abstract elementary classes induced by tilting and cotilting modules have finite character (2008) (6)
- Corrigendum to ¿Tilting modules over small Dedekind domains¿: [J. Pure Appl. Algebra 172 (2002) 109¿117] (2003) (6)
- Uniform modules, Г-invariants, and Ziegler spectra of regular rings (1999) (5)
- Colocalization and cotilting for commutative noetherian rings (2013) (5)
- On strongly flat modules over Matlis domains (2004) (5)
- Zariski locality of quasi-coherent sheaves associated with tilting (2017) (5)
- Brown Representability Test Problems in Locally Grothendieck Categories (2012) (4)
- COTILTING CLASSES OF TORSION-FREE MODULES (2006) (4)
- Gamma invariants for dense lattices (1999) (4)
- Rings derived from group rings (1992) (4)
- Spectra of the , -Invariant of Uniform Modules (2001) (3)
- Local splitters for bounded cotorsion theories (2002) (2)
- Rank functions on rings derived from group rings (1993) (2)
- STRONG SUBMODULES OF ALMOST PROJECTIVE MODULES (2011) (2)
- Generalized Injectivity and Approximations (2016) (2)
- ALGEBRA I (2012) (1)
- $E$-rings and differential polynomials over universal fields (1982) (1)
- Criteria of Steadiness (2019) (1)
- Socle finiteness of the local cohomology (2011) (1)
- The roots of Ext (2008) (1)
- Chapter 1. Some useful classes of modules (2006) (1)
- Constructions and homological properties of simple von Neumann regular rings (1990) (1)
- Modules determined by their annihilator classes (2010) (1)
- ALGEBRA I (2012) (1)
- INFINITE DIMENSIONAL TILTING THEORY AND ITS APPLICATIONS (2005) (1)
- Representation Theory and Beyond (2020) (1)
- Chapter 15. Some useful classes of algebras (2006) (0)
- Chapter 13. Tilting approximations (2006) (0)
- Chapter 11. The lattice of cotorsion pairs (2006) (0)
- Chapter 33. Generalised E(R)-algebras (2012) (0)
- Modules over non-perfect rings – some recent concepts and results suggested by abelian group theory – (2019) (0)
- Flat relative Mittag-Leffler modules and Zariski locality (2022) (0)
- Chapter 24 Endomorphism algebras of אn-free modules (2012) (0)
- Chapter 19. Prediction principles in ZFC: the Black Boxes and others (2012) (0)
- Chapter 18. Survey of prediction principles using ZFC and more (2012) (0)
- Chapter 22. Modules with distinguished submodules (2012) (0)
- Tree modules and limits of the approximation theory (2018) (0)
- Chapter 11. Independence results for cotorsion pairs (2012) (0)
- Chapter 6. Complete cotorsion pairs (2012) (0)
- MODEL CATEGORY STRUCTURES ARISING FROM DRINFELD (2009) (0)
- Chapter 9. Modules of projective dimension one (2012) (0)
- Chapter 21. Automorphism groups of torsion-free abelian groups (2012) (0)
- Chapter 32. E(R)-modules with cotorsion (2012) (0)
- Chapter 10. Kaplansky classes and abstract elementary classes (2012) (0)
- ALGEBRA AND INFINITE COMBINATORICS (2005) (0)
- Categoricity for transfinite extensions of modules (2022) (0)
- Chapter 27. Tame cellular covers (2012) (0)
- Chapter 1. S-completions (2012) (0)
- Weak diamond, weak projectivity, and transfinite extensions of simple artinian rings (2021) (0)
- Chapter 15. Cotilting classes (2012) (0)
- On countable von Neumann regular rings (1991) (0)
- Chapter 14. 1-tilting modules and their applications (2006) (0)
- Chapter 3. Complete cotorsion pairs (2006) (0)
- Chapter 2. Approximations of modules (2006) (0)
- Chapter 16. Tilting and cotilting classes over commutative noetherian rings (2012) (0)
- Chapter 34. Some more useful classes of algebras (2012) (0)
- Classes of Flat Modules Arising in Algebraic Geometry and Approximations (2016) (0)
- TOPICS IN HOMOLOGICAL ALGEBRA (2017) (0)
- Flat relative Mittag-Leffler modules and approximations (2021) (0)
- Ext and von Neumann regular rings (1985) (0)
- Chapter 25. Localisations and cellular covers, the general theory for R-modules (2012) (0)
- Chapter 8. Deconstruction of the roots of Ext (2012) (0)
- Chapter 9. The Black Box and its relatives (2006) (0)
- Closure properties of $\varinjlim\mathcal C$ (2021) (0)
- Chapter 12. Realizing algebras – by algebraically independent elements and by prediction principles (2006) (0)
- Tilting modules and Gorenstein ringsLidia (2007) (0)
- Chapter 30. Large kernels of cellular covers and large localisations (2012) (0)
- Chapter 4. Deconstruction of cotorsion pairs (2006) (0)
- Chapter 8. Cotilting modules (2006) (0)
- Chapter 28. Wild cellular covers (2012) (0)
- FLAT MITTAG-LEFFLER MODULES AND DRINFELD VECTOR BUNDLES (2009) (0)
- Closure properties of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:munder><mml:mi mathvariant="normal">lim</mml:mi><mml:mrow><mml:mo stretchy="false">⟶</mml:mo></mml:mrow></mml:munder><mml:mo></mml:mo><mml:mi mathvariant="script">C</mml:mi></mml:math> (2022) (0)
- Chapter 7. Hill lemma and its applications (2012) (0)
- Tilting theory for coherent rings and almost hereditary noetherian rings (2009) (0)
- Chapter 12. The lattice of cotorsion pairs (2012) (0)
- Chapter 13. E(R)–algebras (2006) (0)
- Chapter 23. R-modules and fields from modules with distinguished submodules (2012) (0)
- Chapter 2. Pure-injective modules (2012) (0)
- Steady ideals and rings Rendiconti del Seminario Matematico (2018) (0)
- Flat Mittag-Leffler modules, and their relative and restricted versions (2023) (0)
- Chapter 4. Slender modules (2012) (0)
- Spectra of the Gamma-invariant of uniform modules (2000) (0)
- Brown Representability Test Problems in Locally Grothendieck Categories (2010) (0)
- Chapter 26. Tame and wild localisations of size ≤ 2 ℵ0 (2012) (0)
- Commentationes Mathematicae Universitatis Carolinae (2012) (0)
- Approximations and Mittag-Leffler conditions the applications (2018) (0)
- Chapter 3. Mittag-Leffler modules (2012) (0)
- Chapter 14. Modules with distinguished submodules (2006) (0)
- Commentationes Mathematicae Universitatis Carolinae (2012) (0)
- Chapter 5. Approximations of modules (2012) (0)
- Chapter 17. Tilting approximations and the finitistic dimension conjectures (2006) (0)
- Recent Progress in Module Approximations (2017) (0)
- Chapter 29. Absolute E-rings (2012) (0)
- ASSOCIATED PRIMES AND COTILTING APPROXIMATIONS OVER COMMUTATIVE NOETHERIAN RINGS (2016) (0)
- In memoriam Professor Karel Drbohlav (1996) (0)
- Chapter 31. Mixed E(R)-modules over Dedekind domains (2012) (0)
- Chapter 10. Independence results for cotorsion pairs (2006) (0)
- _-Separated Covers (2006) (0)
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