Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2006; 43(1): 65-76

Printed January 1, 2006

Copyright © The Korean Mathematical Society.

$\tau$-injective submodules of indecomposable injective modules

Septimiu Crivei

Babes-Bolyai University

Abstract

Let $\tau$ be a hereditary torsion theory and let $p$ be a prime ideal of a commutative ring $R$. We study the existence of (minimal) $\tau$-injective submodules of the injective hull of $R/p$.

Keywords: hereditary torsion theory, ($\tau$-)injective hull

MSC numbers: Primary 16S90; Secondary 13C11

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