Journal article
Some remarks on multiplication ideals, ii
Communications in Algebra, Vol.28(5), pp.2577-2583
01/01/2000
DOI: 10.1080/00927870008826980
Abstract
Let R bea commutative ring with identity. An R-module (ideal of R) A is called a multiplication module (ideal) if for each submodule N of A there exists an ideal I of R with N = I A. We give several characterizations of multiplication modules. Using the method of idealization we show how to reduce questions concerning multiplication modules to multiplication ideals. For example, we show that if S is a commutative R-algebra and ψ: M→an R-module homomorphism where M is a multiplication R-module and N is an S-module, then Sψ(M) is a multiplication S-module.
Details
- Title: Subtitle
- Some remarks on multiplication ideals, ii
- Creators
- D.D Anderson - Department of mathematics , The university of Iowa
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.28(5), pp.2577-2583
- Publisher
- Gordon and Breach Science Publishers Ltd
- DOI
- 10.1080/00927870008826980
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/01/2000
- Academic Unit
- Mathematics
- Record Identifier
- 9983985880702771
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