On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers

• Autorzy: Zahra Heidarian , Hossein Zakeri
• Języki publikacji: EN

Abstrakty

EN

The dual of a Gorenstein module is called a co-Gorenstein module, defined by Lingguang Li. In this paper, we prove that if R is a local U-ring and M is an Artinian R-module, then M is a co-Gorenstein R-module if and only if the complex $Hom_{R̂}(𝓒(𝓤,R̂),M)$ is a minimal flat resolution for M when we choose a suitable triangular subset 𝓤 on R̂. Moreover we characterize the co-Gorenstein modules over a local U-ring and Cohen-Macaulay local U-ring.

Kategorie tematyczne

• 13C15: Dimension theory, depth, related rings (catenary, etc.)
• 13C14: Cohen-Macaulay modules
• 13E10: Artinian rings and modules, finite-dimensional algebras
• 13D07: Homological functors on modules (Tor, Ext, etc.)
• 13E05: Noetherian rings and modules
• 13Hxx: Local rings and semilocal rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 138
• Numer: 2
• Strony: 217-231

Daty

wydano

2015

Twórcy

autor

Zahra Heidarian

• Department of Mathematics, Sciences and Research Branch, Islamic Azad University, Tehran, Iran

autor

Hossein Zakeri

• Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran

Identyfikatory

DOI

10.4064/cm138-2-6