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http://dx.doi.org/10.4134/CKMS.2005.20.3.437

INJECTIVE COVERS OVER COMMUTATIVE NOETHERIAN RINGS OF GLOBAL DIMENSION AT MOST TWO II  

KIM, HAE-SIK (Department of Mathematics Kyungpook National University)
SONG, YEONG-MOO (Department of Mathematics Education Sunchon National University)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.3, 2005 , pp. 437-442 More about this Journal
Abstract
In studying injective covers, the modules C such that Hom(E, C) = 0 and $Ext^1$(E, C) = 0 for all injective module E play an important role because of Wakamatsu's lemma. If C is a module over the ring k[[x, y]] with k a field, the class of these modules C contains the class $\={D}$ of all direct summands of products of modules of finite length ([3, Theorem 2.9]). In this paper we show that every module over any commutative ring has a $\={D}$-preenvelope.
Keywords
injective cover;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
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