On p-Ring

2011/07/03 by Mohammed Kabbour, Kabbour, Mohammed
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1107.0447

openalex publication_date 2011/07/03 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduced the concept of a p-ideal for a given ring. We provide necessary and sufficient condition for \dfracR[x](f(x)) to be a p-ring, where R is a finite p-ring. It is also shown that the amalgamation of rings, A\bowtie^fJ is a p-ring if and only if so is A and J is a p-ideal. Finally, we establish the transfer of this notion to trivial ring extensions.

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