Soft M-Ideals and Soft S-Ideals in Soft S-Algebras

In this paper, we first introduce and discuss new classes of ideals in − d algebra like M Ideals and S Ideals. Also, we introduce new classes of soft algebras they are called soft S algebras. Next, we use our new connotations to introduce and investigate new concepts in soft S − algebras like soft M...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1234; no. 1; pp. 12100 - 12108
Main Authors Mahmood Khalil, Shuker, Adnan Abdul-Ghani, Samaher
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.07.2019
Subjects
Algebra
algebras
ideals
Physics
Soft
Soft sets theory
subalgebras
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Summary:In this paper, we first introduce and discuss new classes of ideals in − d algebra like M Ideals and S Ideals. Also, we introduce new classes of soft algebras they are called soft S algebras. Next, we use our new connotations to introduce and investigate new concepts in soft S − algebras like soft M − Ideals and soft S − Ideals. In this work, we prove that every S − Ideal is M − Ideal. Moreover, we show that it is not necessary every M − Ideal of is S − Ideal of by a counterexample. Also, some properties of our connotations are given.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1234/1/012100