[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2007.44.4.589

SOME REMARKS ON COTORSION ENVELOPES OF MODULES

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.44, no.4, 2007 , pp. 589-596 More about this Journal

Abstract

In this paper we prove that the extension of pure injective module is pure injective if and only if the cotorsion envelope and the pure injective envelope of any R-module M are isomorphic over M. And we prove that if the product of pure injective envelopes of flat modules is a pure injective envelope and the product of flat covers is a flat cover, then the product of cotorsion envelopes is a cotorsion envelope.

Keywords

flat cover; pure injective envelope; cotorsion envelope;

Citations & Related Records

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Reference

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