Some results on Nonnil-multiplication rings

Autor: Dabbabi, Abdelamir, Moulahi, Samir
Zdroj: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry; 20220101, Issue: Preprints p1-8, 8p
Abstrakt: In this paper, we introduce the concept of Nonnil-multiplicationring that is related to the class of multiplication rings. A commutative and unitary ring Ris said to be Nonnil-multiplication if every nonnil ideal Iof Ris a multiplication ideal. We prove some basic properties of Nonnil-multiplication rings and we use idealization construction to establish examples of Nonnil-multiplication rings that are not multiplication rings.
Databáze: Supplemental Index