Soft intersection hyperstructures: Application in Krasner hyperrings

Zare, T.; Jafarpour, M.; Çıtak, Filiz; Aghabozorgi, H.

doi:10.3233/jifs-190791

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2022

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“…Then, H. Aktaş and N. Ça gman propounded the soft group by combining groups with soft sets [2]. H. Aktaş and N. Ça gman's study paved the way for many soft algebraic structures [1,3,5,6,23,26,30,32,36,37]. Also, fuzzy soft algebras were introduced in [4,13,17,31,33].…”

Section: Introductionmentioning

confidence: 99%

A new kind of soft algebraic structures: bipolar soft Lie algebras

Çıtak

2022

Carpathian Math. Publ.

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In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebra and bipolar soft Lie ideal were defined with the help of soft sets. Some algebraic properties of the new concepts were investigated. The relationship between the two structures were analyzed. Also, it was proved that the level cuts of a bipolar soft Lie algebra were Lie subalgebras of a Lie algebra by the new definitions. After then, soft image and soft preimage of a bipolar soft Lie algebra/ideal were proved to be a bipolar soft Lie algebra/ideal.

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Section: Introductionmentioning

confidence: 99%

A new kind of soft algebraic structures: bipolar soft Lie algebras

Çıtak

2022

Carpathian Math. Publ.

View full text Add to dashboard Cite

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Soft intersection hyperstructures: Application in Krasner hyperrings

Cited by 1 publication

References 20 publications

A new kind of soft algebraic structures: bipolar soft Lie algebras

A new kind of soft algebraic structures: bipolar soft Lie algebras

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