Free resolutions of parameter ideals for some rings with finite local cohomology

DOI10.1090/S0002-9939-07-09127-7zbMath1131.13012arXivmath/0604178OpenAlexW2082082418MaRDI QIDQ5431653

Hamidreza Rahmati

Publication date: 20 December 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604178

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Local cohomology and commutative rings (13D45)

Cites Work

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• Gaps in Hochschild cohomology imply smoothness for commutative algebras
• Koszul homology and generalized Cohen-Macaulay modules
• The direct summand conjecture in dimension three.
• On the relation type of systems of parameters
• Canonical elements in local cohomology modules and the direct summand conjecture
• Some Dimension 3 Cases of the Canonical Element Conjecture
• Verallgemeinerte COHEN-MACAULAY-Moduln
• Toward a theory of generalized Cohen-Macaulay modules

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