Structure of flat covers of injective modules

Sh. Payrovi, and M. Akhavizadegan. "Structure of flat covers of injective modules." Colloquium Mathematicae 96.1 (2003): 93-101. <http://eudml.org/doc/284695>.

@article{Sh2003,
abstract = {The aim of this paper is to discuss the flat covers of injective modules over a Noetherian ring. Let R be a commutative Noetherian ring and let E be an injective R-module. We prove that the flat cover of E is isomorphic to $∏_\{p∈ Att_\{R\}(E)\} T_\{p\}$. As a consequence, we give an answer to Xu’s question [10, 4.4.9]: for a prime ideal p, when does $T_\{p\}$ appear in the flat cover of E(R/m̲)?},
author = {Sh. Payrovi, M. Akhavizadegan},
journal = {Colloquium Mathematicae},
keywords = {injective module; flat cover; minimal flat resolution},
language = {eng},
number = {1},
pages = {93-101},
title = {Structure of flat covers of injective modules},
url = {http://eudml.org/doc/284695},
volume = {96},
year = {2003},
}

TY - JOUR
AU - Sh. Payrovi
AU - M. Akhavizadegan
TI - Structure of flat covers of injective modules
JO - Colloquium Mathematicae
PY - 2003
VL - 96
IS - 1
SP - 93
EP - 101
AB - The aim of this paper is to discuss the flat covers of injective modules over a Noetherian ring. Let R be a commutative Noetherian ring and let E be an injective R-module. We prove that the flat cover of E is isomorphic to $∏_{p∈ Att_{R}(E)} T_{p}$. As a consequence, we give an answer to Xu’s question [10, 4.4.9]: for a prime ideal p, when does $T_{p}$ appear in the flat cover of E(R/m̲)?
LA - eng
KW - injective module; flat cover; minimal flat resolution
UR - http://eudml.org/doc/284695
ER -