2022/04/06 by Tamem Al-Shorman, Al-Shorman, Tamem, Malik Bataineh +1
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2204.02528
openalex publication_date 2022/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let R be a commutative ring with unity 1∈ R. In this article, we introduce the concept of prime principal right ideal rings (PPRIR), A prime ideal P of R is said to be prime principal right ideal (PPRI) is given by P =\ ar : r∈ R\ for some element a. The ring R is said to be prime principal right ideal ring (PPRIR) if every prime ideal of R is a prime principal right ideal (PPRI). A prime principal right ideal ring R is called a prime principal right ideal domain (PPRID) if R is a domain. Several properties and characteristics of prime principal right ideal ring (PPRIR).