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When is R[x] a principal ideal ring?

Authors :
Henry Chimal-Dzul
C. A. López-Andrade
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

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