论文标题

通过$ n $ n $ ary-ary乘法子集的$ n $ - y-ary Prime Hyperideals的扩展名(m,m,n)$ -

Extensions of $n$-ary prime hyperideals via an $n$-ary multiplicative subset in a Krasner $(m,n)$-hyperring

论文作者

Anbarloei, M.

论文摘要

令R为Krasner(M,N) - 流血和S为R的N-元素乘法子集。本文的目的是引入N- ARY S-Prime高层的概念,作为N- Ary Prime高级底座的新扩展。提出了几种有关N- ARY S-Prime高层的特性和特征。研究了这一新概念在各种高素质理论结构方面的稳定性。此外,我们将此概念扩展到N- ARY S主要高层。我们获得了一些特定的结果,解释了结构。

Let R be a Krasner (m,n)-hyperring and S be an n-ary multiplicative subset of R. The purpose of this paper is to introduce the notion of n-ary S-prime hyperideals as a new expansion of n-ary prime hyperideals. Several properties and characterizations concerning n-ary S-prime hyperideals are presented. The stability of this new concept with respect to various hyperring-theoretic constructions are studied. Furthermore, we extend this concept to n-ary S-primary hyperideals. We obtained some specific results explaining the structure.

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