Homological invariants associated to semi-dualizing bimodules
Tokuji Araya, Ryo Takahashi, Yuji Yoshino
Abstract
Cohen-Macaulay dimension for modules over a commutative noetherian local ring has been defined by A. A. Gerko. That is a homological invariant sharing many properties with projective dimension and Gorenstein dimension. The main purpose of this paper is to extend the notion of Cohen-Macaulay dimension for modules over commutative noetherian local rings to that for bounded complexes over non-commutative noetherian rings.
Create a lesson
Related papers
Ideals of 2-minors of nearly determinantal matrices
Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi
Intersection Product Formulas and Integral Dependence
Yairon Cid-Ruiz, Steven Dale Cutkosky
Uniform comparison of multiplier and test ideals for polynomials with affinely independent support
Takafumi Shibuta
Betti Sequences of Four-Generated Non-Almost-Symmetric Nearly Gorenstein Numerical Semigroup Rings
Zhi-Lin Zhang
Coherence and the Hilbert-syzygy identity for power series over valuation domains
Mohamed Amine Aouichaoui, Adam Jones, Yiding Wang
Geometry of Spaces of Subrings
Laura Cossu, Bruce Olberding, Giovanni Secreti