Journal article
MULTIPLICATION MODULES AND THE IDEAL
Communications in Algebra, Vol.30(7), pp.3383-3390
08/07/2002
DOI: 10.1081/AGB-120004493
Abstract
Let be a commutative ring and an -module. Then is a multiplication module if for each submodule of . The ideal of has proved useful in studying multiplication modules. We show that if is a faithful multiplication module, then an ideal of , the trace ideal of . Moreover, is an idempotent multiplication ideal of and . We also show that for a multiplication module , is an ideal of the endomorphism ring of and that where the inverse limit is taken over the finitely generated submodules of .
Details
- Title: Subtitle
- MULTIPLICATION MODULES AND THE IDEAL
- Creators
- D. D Anderson - Department of Mathematics , The University of IowaYousef Al-Shaniafi - Department of Mathematics , King Saud University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.30(7), pp.3383-3390
- Publisher
- Taylor & Francis Group
- DOI
- 10.1081/AGB-120004493
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 08/07/2002
- Academic Unit
- Mathematics
- Record Identifier
- 9983985995202771
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