J
Jan Trlifaj
Researcher at Charles University in Prague
Publications - 104
Citations - 2618
Jan Trlifaj is an academic researcher from Charles University in Prague. The author has contributed to research in topics: Ring (mathematics) & Noetherian. The author has an hindex of 25, co-authored 100 publications receiving 2410 citations.
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Book
Approximations and Endomorphism Algebras of Modules
Rüdiger Göbel,Jan Trlifaj +1 more
TL;DR: Approximations and endomorphism algebras of modules have been studied extensively in the literature since 2006 as mentioned in this paper, with a focus on the impossibility of classification for modules over general rings.
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How To Make Ext Vanish
Paul C. Eklof,Jan Trlifaj +1 more
TL;DR: In this paper, a general construction of a module A from a given module B such that Ext(B, A) = 0 is given, and applied to answer several questions on splitters, cotorsion theories and saturated rings.
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Tilting Modules and Tilting Torsion Theories
Riccardo Colpi,Jan Trlifaj +1 more
TL;DR: In this paper, a generalization of the Bongartz lemma for tilting torsion theories in Mod-R is presented. Butler et al. generalize basic results about classical tilting modules and partial tilting module to the infinite dimensional case, over an arbitrary ring R. The methods employed combine classical techniques of representation theory of finite dimensional algebras with new techniques of ∗-modules.
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Tilting Preenvelopes and Cotilting Precovers
TL;DR: In this article, the theory of envelopes and covers is related to tilting and cotilting theory for modules over arbitrary rings, and the main result characterizes tilting torsion classes as the pretorsions classes providing special preenvelopes for all modules.