Families of generalized Cohen–Macaulay and filter rings

DOI10.1142/S0219498822502140zbMath1497.13009MaRDI QIDQ5039758

Y. Azimi, Nematollah Shirmohammadi

Publication date: 4 October 2022

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

\(f\)-ringCohen-Macaulaygeneralized Cohen-Macaulayamalgamated duplicationidealization

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Ideals and multiplicative ideal theory in commutative rings (13A15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Cites Work

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• Families of Gorenstein and almost Gorenstein rings
• A construction of Gorenstein rings
• Some applications of a criterion for Artinianness of a module
• Notes on amalgamated duplication of a ring along an ideal
• The f-depth of an ideal on a module
• Cohen–Macaulay and Gorenstein Properties under the Amalgamated Construction
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• Verallgemeinerte COHEN-MACAULAY-Moduln
• A Family of Quotients of the Rees Algebra

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