Journal article
On S-multiplication modules
Communications in Algebra, Vol.48(8), pp.3398-3407
2020
DOI: 10.1080/00927872.2020.1737873
Abstract
In this article, we introduce S-multiplication modules which are a generalization of multiplication modules. Let M be an R-module and (Formula presented.) a multiplicatively closed subset. M is said to be an S-multiplication module if for each submodule N of M there exist (Formula presented.) and an ideal I of R such that (Formula presented.) Besides giving many properties of S-multiplication modules, we generalize some results on multiplication modules to S-multiplication modules. Also, we study S-prime submodules in S-multiplication modules. In particular, we generalize prime avoidance lemma for multiplication modules to S -multiplication modules. Furthermore, we characterize multiplication modules in terms of S-multiplication modules. Communicated by Toma Albu. © 2020, © 2020 Taylor & Francis Group, LLC.
Details
- Title: Subtitle
- On S-multiplication modules
- Creators
- D.D. Anderson - University of IowaT. Arabaci - Istanbul Bilgi UniversityÜ. Tekir - Marmara UniversityS. Koç - Marmara University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.48(8), pp.3398-3407
- Publisher
- Taylor and Francis Inc.
- DOI
- 10.1080/00927872.2020.1737873
- ISSN
- 0092-7872
- Language
- English
- Date published
- 2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984230421302771
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