Abstract

In this manuscript, we introduce soft int-nearsemirings by utilizing the intersection operation of sets. We study the set theoretic characteristics of nearsemirings with the effects of soft set intersection operations. Soft int sub-nearsemirings, soft int-ideals (\(SI\)-ideals), soft int-\(c\)-ideals (\(SI{-}c\)-ideals) are also introduced and discussed. We inter-relate the characteristics of nearsemirings and \(SI\)-nearsemirings by applying different types of soft set product operations. Finally, we present few structural characteristics of \(SI\)-ideals and \(SI{-}c\)-ideals.

中文翻译：

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软交点近半指及其代数应用

摘要

在本手稿中，我们通过利用集合的相交运算来介绍软的intr-neursemirings。我们通过软集合相交运算的影响研究近半人的集合理论特征。还介绍并讨论了软int亚半球形，软int理想（\（SI \）- ideals），软int- \（c \）-理想（\（SI {-} c \）- ideals）。我们通过应用不同类型的软集合产品运算来相互关联近半指和\（SI \）-近半指的特性。最后，我们介绍了\（SI \）- ideals和\（SI {-} c \）- ideals的一些结构特征。