Finiteness of Selfinjective Dimension for Noetherian Algebras

DOI10.1080/00927872.2012.686645zbMath1291.16004OpenAlexW2011340459MaRDI QIDQ2848511

Mitsuo Hoshino, Hirotaka Koga

Publication date: 26 September 2013

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

Full work available at URL: https://tsukuba.repo.nii.ac.jp/?action=repository_uri&item_id=33850

zbMATH Keywords

derived categoriesinjective cogeneratorsGorenstein algebrasself-injective dimensionweak Gorenstein dimensionself-injective Noetherian algebras

Mathematics Subject Classification ID

Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Homological dimension in associative algebras (16E10) Derived categories and associative algebras (16E35)

Cites Work

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• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Derived equivalences and Gorenstein algebras
• Injective dimension of semi-primary rings
• Zaks' lemma for coherent rings.
• Towards a theory of Bass numbers with application to Gorenstein algebras
• ON DERIVED EQUIVALENT COHERENT RINGS
• Stable module theory

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