ON HOMOLOGICAL FROBENIUS COMPLEXES AND BIMODULES

DOI10.1017/S0017089514000068zbMath1329.16007MaRDI QIDQ2921062

Luis Oyonarte, J. R. García Rozas, Blass Torrecillas Jover

Publication date: 30 September 2014

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

triangulated categoriescategories of modulesFrobenius extensionsderived categories of complexesgeneralizations of tilting complexeshomological Frobenius complexeshomological Frobenius functors

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Syzygies, resolutions, complexes in associative algebras (16E05)

Cites Work

• Totally reflexive extensions and modules.
• The structure of AS-Gorenstein algebras.
• Frobenius extensions and tilting complexes.
• Resolution of unbounded complexes in Grothendieck categories
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Separability and the twisted Frobenius bimodule
• Triangulated Categories
• Frobenius functors: applications
• TILTING COMPLEXES DEFINED BY IDEMPOTENTS
• The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
• Gorenstein categories and Tate cohomology on projective schemes

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