Structure of flat covers of injective modules

• Autorzy: Sh. Payrovi , M. Akhavizadegan
• Języki publikacji: EN

Abstrakty

EN

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)?

Kategorie tematyczne

• 13E05: Noetherian rings and modules
• 13C11: Injective and flat modules and ideals

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 96
• Numer: 1
• Strony: 93-101

Daty

wydano

2003

Twórcy

autor

Sh. Payrovi

• Imam Khomeini International University, P.O. Box 288, Qazvin, Iran

autor

M. Akhavizadegan

• Imam Khomeini International University, P.O. Box 288, Qazvin, Iran

Identyfikatory

DOI

10.4064/cm96-1-9