Stable Projective Homotopy Theory of Modules, Tails, and Koszul Duality

DOI10.1080/00927870903339980zbMath1235.16025OpenAlexW2122851327MaRDI QIDQ3060845

Alex Martsinkovsky, Roberto Martínez-Villa

Publication date: 10 December 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870903339980

zbMATH Keywords

graded modulesfunctorsKoszul dualitybounded derived categoriesYoneda algebraslinear complexeshomotopy theory of modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Quadratic and Koszul algebras (16S37) Localization of categories, calculus of fractions (18E35)

Related Items (1)

ON THE HOMOGENIZED ENVELOPING ALGEBRA OF THE LIE ALGEBRA Sℓ(2,ℂ) II

Cites Work

• Approximations with modules having linear resolutions.
• Koszul equivalences and dualities.
• Cohomology of tails, Tate-Vogel cohomology, and noncommutative Serre duality over Koszul quiver algebras.
• Triangulated Categories
• Unnamed Item

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