Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2009; 46(3): 545-551

Printed May 1, 2009

https://doi.org/10.4134/BKMS.2009.46.3.545

Copyright © The Korean Mathematical Society.

Maps in minimal injective resolutions of modules

Kisuk Lee

Sookmyung Women's University

Abstract

We investigate the behavior of maps in minimal injective resolution of an $A$-module $M$ when $\mu_t(\frak m,M)$ = 1 for some $t$, and we develop slightly the fact that a module of type 1 is Cohen-Macaulay.

Keywords: Bass numbers, minimal injective resolutions, type of modules, Cohen-Macaulay rings

MSC numbers: 13H10, 13C14, 13D02

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