A study of quasi-Gorenstein rings

DOI10.1016/j.jpaa.2018.02.004zbMath1393.13045arXiv1508.04597OpenAlexW2962710875MaRDI QIDQ1635334

Ehsan Tavanfar, Massoud Tousi

Publication date: 6 June 2018

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.04597

zbMATH Keywords

Gorenstein ringsquasi-Gorenstein rings

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45)

Related Items (7)

Annihilators of Koszul homologies and almost complete intersections ⋮ Reduction of the small Cohen-Macaulay conjecture to excellent unique factorization domains ⋮ Remarks on the small Cohen-Macaulay conjecture and new instances of maximal Cohen-Macaulay modules ⋮ A study of quasi-Gorenstein rings. II: Deformation of quasi-Gorenstein property ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ New algebraic properties of quadratic quotients of the Rees algebra ⋮ When does the canonical module of a module have finite injective dimension?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the associated graded rings of parameter ideals in Buchsbaum rings
• A note on quasi-Gorenstein rings
• Some basic results on canonical modules
• On the endomorphism ring of the canonical module
• Gorenstein dimensions
• A study of quasi-Gorenstein rings. II: Deformation of quasi-Gorenstein property
• The equality \(I^2=QI\) in Buchsbaum rings
• On the ubiquity of Gorenstein rings
• Gorenstein injectivity of the section functor
• Beyond totally reflexive modules and back
• On Injective and Gorenstein Injective Dimensions of Local Cohomology Modules
• On the Generalized Fractions of Sharp and Zakeri
• Isomorphims between complexes with applications to the homological theory of modules.
• Examples of Buchsbaum Quasi-Gorenstein Rings
• Cyclic covers of rings with rational singularities
• Gorenstein rings and irreducible parameter ideals

This page was built for publication: A study of quasi-Gorenstein rings