✦ LIBER ✦
Bijective Relative Gabriel Correspondence over Rings with Torsion Theoretic Krull Dimension
✍ Scribed by Toma Albu; Günter Krause; Mark L Teply
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 218 KB
- Volume
- 243
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Ž
. and Nastasescu 1981, Comm. Algebra 9, 1395᎐1426 give information about rings ˘that have Krull dimension or are noetherian relative to a torsion theory. The aim of this paper is to extend these results to rings R having relative Krull dimension with respect to a hereditary torsion theory on Mod-R such that any -torsion-free right R-module M has nonempty assassinator. Since any ideal invariant hereditary Ž torsion theory has this property in view of a recent result by the authors 2000, J.
. Algebra 229, 498᎐513 , these results apply in particular to the commutative case.