MODULES WITH SEMILOCAL ENDOMORPHISM RING

Authors
HERBERA D SHAMSUDDIN A
Citation
D. Herbera et A. Shamsuddin, MODULES WITH SEMILOCAL ENDOMORPHISM RING, Proceedings of the American Mathematical Society, 123(12), 1995, pp. 3593-3600
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
123
Issue
12
Year of publication
1995
Pages
3593 - 3600
Database
ISI
SICI code
0002-9939(1995)123:12<3593:MWSER>2.0.ZU;2-O
Abstract
We use the concept of dual Goldie dimension and a characterization of semi-local rings due to Camps and Dicks (1993) to find some classes of modules with semi-local endomorphism ring. We deduce that Linearly co mpact modules have semi-local endomorphism ring, cancel from direct su ms and satisfy the n th root uniqueness property. We also deduce that modules over commutative rings satisfying AB5 also cancel from direct sums and satisfy the n th root uniqueness property.