[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.1.167

INJECTIVE COVERS OVER COMMUTATIVE NOETHERIAN RINGS WITH GLOBAL DIMENSION AT MOST TWO

Enochs, Edgar-E. (Department Of Mathematics, University Of Kentuckey)
Kim, Hae-Sik (Department Of Mathematics, Kyungpook National University)
Song, Yeong-Moo (Department Of Mathematics Education, Sunchon National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.1, 2003 , pp. 167-176 More about this Journal

Abstract

In [3］, Del Valle, Enochs and Martinez studied flat envelopes over rings and they showed that over rings as in the title these are very well behaved. If we replace flat with injective and envelope with the dual notion of a cover we then have the injective covers. In this article we show that these injective covers over the commutative noetherian rings with global dimension at most 2 have properties analogous to those of the flat envelopes over these rings.

Keywords

injective cover;

Citations & Related Records

Reference

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