Journal article
McCoy modules and related modules over commutative rings
Communications in Algebra, Vol.45(6), pp.2593-2601
2017
DOI: 10.1080/00927872.2016.1233218
Abstract
Let M be a left R-module. Then M is a McCoy (resp., dual McCoy) module if for nonzero f(X)∈R[X] and m(X)∈M[X], f(X)m(X) = 0 implies there exists a nonzero r∈R (resp., m∈M) with rm(X) = 0 (resp., f(X)m = 0). We show that for R commutative every R-module is dual McCoy, but give an example of a non-McCoy module. A number of other results concerning (dual) McCoy modules as well as arithmetical, Gaussian, and Armendariz modules are given. © 2017, Copyright © Taylor & Francis.
Details
- Title: Subtitle
- McCoy modules and related modules over commutative rings
- Creators
- D.D. Anderson - University of IowaSangmin Chun - Seoul National University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra, Vol.45(6), pp.2593-2601
- Publisher
- Taylor and Francis Inc.
- DOI
- 10.1080/00927872.2016.1233218
- ISSN
- 0092-7872
- Language
- English
- Date published
- 2017
- Academic Unit
- Mathematics
- Record Identifier
- 9984230420502771
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