Semidualizing modules and the divisor class group

zbMath1127.13007arXivmath/0408399MaRDI QIDQ2382945

Sean K. Sather-Wagstaff

Publication date: 5 October 2007

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0408399

Mathematics Subject Classification ID

Related Items (37)

GENERALIZED GORENSTEIN DIMENSION OVER GROUP RINGS ⋮ Applications and homological properties of local rings with decomposable maximal ideals ⋮ Relative tor functors for level modules with respect to a semidualizing bimodule ⋮ Testing for the Gorenstein property ⋮ Maps on divisor class groups induced by ring homomorphisms of finite flat dimension ⋮ Comparison of relative cohomology theories with respect to semidualizing modules ⋮ Relative weak injective and weak flat modules with respect to a semidualizing module ⋮ Descent via Koszul extensions ⋮ Chains of semidualizing modules ⋮ Cotorsion pairs associated with Auslander categories ⋮ The set of semidualizing complexes is a nontrivial metric space ⋮ Necessary conditions for the depth formula over Cohen-Macaulay local rings ⋮ Reducing invariants and total reflexivity ⋮ The balance of relative Ext groups defined by semidualizing modules ⋮ Generalization of bi-canonical degrees ⋮ Semidualizing modules and rings of invariants ⋮ Some properties of \(n\)-semidualizing modules ⋮ Finite homological dimension and a derived equivalence ⋮ Syzygy and torsionless modules with respect to a semidualizing module ⋮ Some properties of a family of quotients of the Rees algebra ⋮ Homological dimensions and semidualizing complexes ⋮ Duality pairs induced by Gorenstein projective modules with respect to semidualizing modules ⋮ Ladder determinantal rings over normal domains ⋮ Coreflexive modules and semidualizing modules with finite projective dimension ⋮ $C$-CANONICAL MODULES ⋮ Relative tor functors with respect to a semidualizing module ⋮ Some algebraic and homological properties of a family of quotients of the Rees algebra ⋮ DC-projective dimensions, Foxby equivalence and SDC-projective modules ⋮ Generic constructions and semidualizing modules ⋮ Residually faithful modules and the Cohen-Macaulay type of idealizations ⋮ Notes on linkage of modules ⋮ Semidualizing modules of \(2\times2\) ladder determinantal rings ⋮ Left orthogonal classes of semidualizing bimodules ⋮ Cograde conditions and cotorsion pairs ⋮ Totally reflexive modules with respect to a semidualizing bimodule ⋮ A Somewhat Gentle Introduction to Differential Graded Commutative Algebra ⋮ On relative counterpart of Auslander’s conditions

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