A new kind of soft algebraic structures: bipolar soft Lie algebras
Array
DOI:
https://doi.org/10.15330/cmp.14.2.464-474Keywords:
soft set, soft Lie algebra, soft Lie ideal, bipolar soft Lie algebra, bipolar soft Lie idealAbstract
In this paper, basic concepts of soft set theory was mentioned. Then, bipolar soft Lie algebras and bipolar soft Lie ideals 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.
Downloads
Additional Files
Published
2022-12-30
How to Cite
(1)
Çıtak, F. A New Kind of Soft Algebraic Structures: Bipolar Soft Lie Algebras: Array. Carpathian Math. Publ. 2022, 14, 464-474.
Issue
Section
Scientific articles