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When is R[x] a principal ideal ring?
- Source :
- Revista Integración, Vol 35, Iss 2 (2018)
- Publication Year :
- 2018
- Publisher :
- Universidad Industrial de Santander, 2018.
-
Abstract
- Because of its interesting applications in coding theory, cryptography, and algebraic combinatoris, in recent decades a lot of attention has been paid to the algebraic structure of the ring of polynomials R[x], where R is a finite commutative ring with identity. Motivated by this popularity, in this paper we determine when R[x] is a principal ideal ring. In fact, we prove that R[x] is a principal ideal ring if and only if R is a finite direct product of finite fields
- Subjects :
- Principal ideal ring
polynomial ring
finite rings
Mathematics
QA1-939
Subjects
Details
- Language :
- Spanish; Castilian
- ISSN :
- 0120419X and 21458472
- Volume :
- 35
- Issue :
- 2
- Database :
- Directory of Open Access Journals
- Journal :
- Revista Integración
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.23e6fe62dca54e028d835500154d597a
- Document Type :
- article
- Full Text :
- https://doi.org/10.18273/revint.v35n2-2017001