Journal article
Zero-Divisors, Torsion Elements, and Unions of Annihilators
Communications in Algebra: Special Issue Dedicated to Marco Fontana, Vol.43(1), pp.76-83
01/02/2015
DOI: 10.1080/00927872.2014.897198
Abstract
Let R be a commutative ring and M be a nonzero R-module. Now Z(M) = {r ∈ R | rm = 0 for some 0 ≠ m ∈ M} is a union of prime ideals of R and T(M) = {m ∈ M | rm = 0 for some 0 ≠ r ∈ R} is a union of prime submodules of M if M ≠ T(M). We investigate representations of Z(M) and T(M) as unions of primes each of which is a union of annihilators.
Details
- Title: Subtitle
- Zero-Divisors, Torsion Elements, and Unions of Annihilators
- Creators
- D. D Anderson - Department of Mathematics , The University of IowaSangmin Chun - Department of Mathematics , Seoul National University
- Resource Type
- Journal article
- Publication Details
- Communications in Algebra: Special Issue Dedicated to Marco Fontana, Vol.43(1), pp.76-83
- Publisher
- Taylor & Francis Group
- DOI
- 10.1080/00927872.2014.897198
- ISSN
- 0092-7872
- eISSN
- 1532-4125
- Language
- English
- Date published
- 01/02/2015
- Academic Unit
- Mathematics
- Record Identifier
- 9983985700502771
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