[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2006.21.1.011

DIVISIBLE ENVELOPES OF THE FORM T ↪ S^-1T

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.21, no.1, 2006 , pp. 11-16 More about this Journal

Abstract

In this article we show that if R is a Noetherian ring with the global dimension at most one, then every S-torsion free R-module T has a divisible envelope of the form $T{\hookrightarrow}S^{-1}T$

Keywords

divisible envelope; S-torsion free module;

Citations & Related Records

Reference

1	H. Bass, On the ubiquity of Gorenstein rings, Math. Z. 82 (1963), 8-28 DOI
2	E. Enochs, H. Kim, and S. Rim, Divisible envelopes over Gorenstein rings of Krull dimension at most one, Comm. in Algebra 29 (2001), no. 8, 3275-3283 DOI ScienceOn
3	J. Xu, Flat covers of modules, Lecture Notes in Math. 1634, Springer-Verlag, 1996
4	J. Rotman, An introduction to Homological Algebra, Academic Press, 1979
5	D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Graduate Texts in Math. 150, Springer, 1994

KSCI

DIVISIBLE ENVELOPES OF THE FORM T ↪ S-1T

DIVISIBLE ENVELOPES OF THE FORM T ↪ S^-1T