On the primeness of near-rings

In this paper, we study the different kinds of the primeness on the class of near-rings and we give new characterizations for them. For that purpose, we introduce new concepts called set-divisors, ideal-divisors, etc. and we give equivalent statements for 3-primeness which make 3-primeness looks lik...

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Bibliographic Details
Main Author: Khalid H. Al-Shaalan
Format: Article
Language:English
Published: Emerald Publishing 2020-08-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:https://www.emerald.com/insight/content/doi/10.1016/j.ajmsc.2019.12.004/full/pdf