Journal article
Unique factorization in polynomial rings with zero divisors
Journal of Algebra and its Applications, Vol.20(7), 2150113
2021
DOI: 10.1142/S0219498821501139
Abstract
Given a certain factorization property of a ring R, we can ask if this property extends to the polynomial ring over R or vice versa. For example, it is well known that R is a unique factorization domain if and only if R[X] is a unique factorization domain. If R is not a domain, this is no longer true. In this paper, we survey unique factorization in commutative rings with zero divisors, and characterize when a polynomial ring over an arbitrary commutative ring has unique factorization. © 2021 World Scientific Publishing Company.
Details
- Title: Subtitle
- Unique factorization in polynomial rings with zero divisors
- Creators
- D.D. Anderson - University of IowaR.A.C. Edmonds - The Ohio State University
- Resource Type
- Journal article
- Publication Details
- Journal of Algebra and its Applications, Vol.20(7), 2150113
- Publisher
- World Scientific
- DOI
- 10.1142/S0219498821501139
- ISSN
- 0219-4988
- Language
- English
- Date published
- 2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984230628902771
Metrics
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