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

Autor:	F. Çıtak
Jazyk:	English<br />Ukrainian
Rok vydání:	2022
Předmět:	soft set soft lie algebra soft lie ideal bipolar soft lie algebra bipolar soft lie ideal Mathematics QA1-939
Zdroj:	Karpatsʹkì Matematičnì Publìkacìï, Vol 14, Iss 2, Pp 464-474 (2022)
Druh dokumentu:	article
ISSN:	2075-9827 2313-0210
DOI:	10.15330/cmp.14.2.464-474
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/75e17c1b32cf4f8b9f81e53efa811d3f Zobrazit plný text záznamu View record in DOAJ