Families of Gorenstein and almost Gorenstein rings

DOI10.1007/s11512-016-0235-5zbMath1372.13017arXiv1512.07179OpenAlexW3100596283MaRDI QIDQ517228

Francesco Strazzanti, Marco D'Anna, Valentina Barucci

Publication date: 23 March 2017

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07179

zbMATH Keywords

Gorenstein ringalmost Gorenstein ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (12)

On the boundedness of the type of an almost Gorenstein monomial curve in 𝔸⁵ ⋮ Families of generalized Cohen–Macaulay and filter rings ⋮ On quotients of Rees algebras ⋮ A construction of Prüfer rings involving quotients of Rees algebras ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ When is \(\mathfrak{m}:\mathfrak{m}\) an almost Gorenstein ring? ⋮ New algebraic properties of quadratic quotients of the Rees algebra ⋮ Some properties of a family of quotients of the Rees algebra ⋮ The ideal duplication ⋮ Almost canonical ideals and GAS numerical semigroups ⋮ Tangent cones of monomial curves obtained by numerical duplication ⋮ The Hilbert-Kunz function of some quadratic quotients of the Rees algebra

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• On a construction of Gorenstein rings proposed by M. D'Anna
• AN AMALGAMATED DUPLICATION OF A RING ALONG AN IDEAL: THE BASIC PROPERTIES
• A Family of Quotients of the Rees Algebra
• The Converse to a Theorem of Sharp on Gorenstein Modules

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