一类新的软代数结构:双极软李代数

IF 1 Q1 MATHEMATICS

Carpathian Mathematical Publications Pub Date : 2022-12-30 DOI:10.15330/cmp.14.2.464-474

F. Çitak

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引用次数: 0

摘要

本文介绍了软集理论的基本概念。然后，利用软集定义了双极软李代数和双极软李理想。研究了新概念的一些代数性质。分析了两种结构之间的关系。用新的定义证明了双极软李代数的水平切是李代数的李子代数。然后，证明了双极软李代数/理想的软图像和软预像是双极软李代数/理想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Carpathian Mathematical Publications MATHEMATICS-

CiteScore

1.90

自引率

12.50%

发文量

审稿时长

25 weeks