Algebraic \(K\)-theory of Gorenstein projective modules

DOI10.1007/s11464-017-0673-9zbMath1381.16007OpenAlexW2776102316MaRDI QIDQ1705057

Nan Gao, Miantao Liu, Ruixin Li

Publication date: 14 March 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0673-9

zbMATH Keywords

Gorenstein projective modulerecollementFrobenius pairGorenstein algebraic \(K\)-groupidempotent complete category

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Computations of higher (K)-theory of rings (19D50) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

Cites Work

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• Higher algebraic \(K\)-theory of ring epimorphisms
• On algebras of finite Cohen-Macaulay type.
• Stratifying derived module categories
• Gorenstein derived categories
• Chain complexes and stable categories
• Relative homological algebra
• Gorenstein singularity categories
• Negative \(K\)-theory of derived categories
• Higher algebraic K-theory: I
• Stable module theory
• Idempotent completion of triangulated categories

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