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

Zahra Heidarian, and Hossein Zakeri. "On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers." Colloquium Mathematicae 138.2 (2015): 217-231. <http://eudml.org/doc/283414>.

@article{ZahraHeidarian2015,
abstract = {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 $Hom_\{R̂\}((,R̂),M)$ is a minimal flat resolution for M when we choose a suitable triangular subset on R̂. Moreover we characterize the co-Gorenstein modules over a local U-ring and Cohen-Macaulay local U-ring.},
author = {Zahra Heidarian, Hossein Zakeri},
journal = {Colloquium Mathematicae},
keywords = {co-Gorenstein module; Cohen-Macaulay ring; Cousin complex; dual Bass number; generalized fractions; minimal flat resolution},
language = {eng},
number = {2},
pages = {217-231},
title = {On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers},
url = {http://eudml.org/doc/283414},
volume = {138},
year = {2015},
}

TY - JOUR
AU - Zahra Heidarian
AU - Hossein Zakeri
TI - On co-Gorenstein modules, minimal flat resolutions and dual Bass numbers
JO - Colloquium Mathematicae
PY - 2015
VL - 138
IS - 2
SP - 217
EP - 231
AB - 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 $Hom_{R̂}((,R̂),M)$ is a minimal flat resolution for M when we choose a suitable triangular subset on R̂. Moreover we characterize the co-Gorenstein modules over a local U-ring and Cohen-Macaulay local U-ring.
LA - eng
KW - co-Gorenstein module; Cohen-Macaulay ring; Cousin complex; dual Bass number; generalized fractions; minimal flat resolution
UR - http://eudml.org/doc/283414
ER -