Radicals of soft intersectıonal ideals in semigroups

In this paper, we introduce IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical in semigroups. We obtain radical structures that will contribute to the theoretical studies of soft sets. We consider the ideal structures of intersectional soft sets in semigroups and we define IS-radic...

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Bibliographic Details
Published in:Cumhuriyet Science Journal
Main Authors: Betül Erdal, Emin Aygun
Format: Article
Language:English
Published: Sivas Cumhuriyet Üniversitesi 2021-03-01
Subjects:
soft radical
is-radical
is-quasi radical
is-interior radical
is-nil radical
Online Access:https://dergipark.org.tr/tr/pub/csj/issue/60844/738926
Description
Summary:In this paper, we introduce IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical in semigroups. We obtain radical structures that will contribute to the theoretical studies of soft sets. We consider the ideal structures of intersectional soft sets in semigroups and we define IS-radical, IS-quasi radical, IS-interior radical and IS-nil radical. We use two different methods to define the soft radicals and give the results. In our study, we also give several examples and propositions to see differences among these structures.
ISSN:2587-2680
2587-246X

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