Syzygies of Cohen-Macaulay modules and Grothendieck groups

DOI10.1016/J.JALGEBRA.2017.06.038zbMath1453.13033arXiv1607.06189OpenAlexW2964090044MaRDI QIDQ2401718

Toshinori Kobayashi

Publication date: 4 September 2017

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

Full work available at URL: https://arxiv.org/abs/1607.06189

zbMATH Keywords

Cohen-Macaulay ringCohen-Macaulay moduleGrothendieck group

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Cohen-Macaulay modules (13C14) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (2)

Auslander-Reiten triangles and Grothendieck groups of triangulated categories ⋮ Relations for Grothendieck groups and representation-finiteness

Cites Work

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• Singularity categories and singular equivalences for resolving subcategories
• Grothendieck groups of algebras and orders
• Syzygy modules for Noetherian rings
• Non-commutative resolutions and Grothendieck groups
• Relations for Grothendieck Groups of Artin Algebras
• Relations for Grothendieck groups of Gorenstein rings
• Stable module theory

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