Some remarks on index and generalized Loewy length of a Gorenstein local ring

DOI10.1006/jabr.1997.6770zbMath0879.13013OpenAlexW2037279359MaRDI QIDQ1355651

Akira Shida, Mitsuyasu Hashimoto

Publication date: 13 January 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.6770

zbMATH Keywords

Cohen-Macaulay approximationgeneralized Loewy lengthindex of a Gorenstein local ring

Mathematics Subject Classification ID

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

Related Items (14)

A study of strongly Cohen-Macaulay ideals by delta invariant ⋮ Approximations of complete modules by complete big Cohen-Macaulay modules over a Cohen-Macaulay local ring ⋮ Gorenstein flat covers and Gorenstein cotorsion modules over integral group rings. ⋮ Cohen-Macaulay approximation in fibred categories ⋮ The index of an algebraic variety ⋮ Deformation theory of Cohen-Macaulay approximation ⋮ On the interplay between the Frobenius functor and its dual ⋮ New invariants of Noetherian local rings ⋮ Cohen-macaulay approximations and noetherian algebras ⋮ A counterexample to a conjecture of Ding ⋮ About q-approximations and q-hulls over a Noetherian ring, some refinements of the Auslander-Bridger theory ⋮ On delta invariants and indices of ideals ⋮ Connections between reduced Bass numbers and Auslander's \(\delta\)-invariant ⋮ Complete Cohomologies and Some Homological Invariants

Cites Work

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• Cohen-Macaulay approximation and multiplicity
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• Liftings and weak liftings of modules
• What makes a complex exact?
• The homological theory of maximal Cohen-Macaulay approximations
• A note on the index of cohen-macaulay local rings
• Locally Gorenstein Homomorphisms
• The Associated Graded Ring and the Index of a Gorenstein Local Ring
• Auslander's δ-Invariants of Gorenstein Local Rings
• On the higher delta invariants of a Gorenstein local ring
• On indices of local rings along local homomorphisms
• A Generalized Koszul Complex. II. Depth and Multiplicity
• Finitely Generated Modules of Finite Injective Dimension Over Certain Cohen-Macaulay Rings^†

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