Multiplicities of Semidualizing Modules

DOI10.1080/00927872.2012.705933zbMath1282.13021arXiv1001.2632OpenAlexW2030428575MaRDI QIDQ2863666

Susan Marie Cooper, Sean K. Sather-Wagstaff

Publication date: 25 November 2013

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

Full work available at URL: https://arxiv.org/abs/1001.2632

zbMATH Keywords

Betti numbersHilbert-Samuel multiplicitiesmonomial idealssemidualizing modulesdualizing modulescanonical modulesfat point schemes

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Cohen-Macaulay modules (13C14)

Related Items (10)

Notes on linkage of modules with respect to a semidualizing module ⋮ Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module ⋮ Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module ⋮ GORENSTEIN PROJECTIVE DIMENSIONS OF COMPLEXES UNDER BASE CHANGE WITH RESPECT TO A SEMIDUALIZING MODULE ⋮ $C$-CANONICAL MODULES ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ Relative tilting modules with respect to a semidualizing module ⋮ Semidualizing modules of \(2\times2\) ladder determinantal rings ⋮ A Somewhat Gentle Introduction to Differential Graded Commutative Algebra ⋮ On the freeness of dual semidualizing modules

Cites Work

• The set of semidualizing complexes is a nontrivial metric space
• On the Macaulayfication of local rings
• Parametric decomposition of monomial ideals. II
• On the growth of the Betti sequence of the canonical module
• Semi-dualizing complexes and their Auslander categories
• Reflexivity and Ring Homomorphisms of Finite Flat Dimension
• Bass Numbers and Semidualizing Complexes

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