Characterization of irreducible polynomials over a special principal ideal ring

A commutative ring $R$ with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length $e$ is the index of nilpotency of its maximal ideal. In this paper, we show a characterization of irreducible polynomials...

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Bibliographic Details
Main Author: Brahim Boudine
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2023-12-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/148/4/mb148_4_5.pdf