On Lie Homomorphisms of Complex Intuitionistic Fuzzy Lie Algebras

被引：2

作者：

Shaqaqha, Shadi M. ^{[1
]}

Al-Deiakeh, Mounther Y. ^{[1
]}

机构：

[1] Yarmouk Univ, Dept Math, Shafiq Irshidat St, Irbid 21163, Jordan

来源：

EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2024年 / 17卷 / 04期

关键词：

Lie ideal; Lie algebra homomorphism; fuzzy set; fuzzy Lie subalgebra; intuitionistic fuzzy set; intuitionistic fuzzy Lie subalgebra; homogeneous complex intuitionistic fuzzy Lie subalgebra; complex intuitionistic fuzzy Lie ideal; SUBALGEBRAS;

D O I：

10.29020/nybg.ejpam.v17i4.5385

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the properties of complex intuitionistic fuzzy Lie subalgebras and ideals under Lie algebra homomorphisms, focusing on both images and inverse images. We provide detailed proofs for several new results concerning the preservation of complex intuitionistic fuzzy structures through homomorphisms, and we introduce additional homomorphismrelated properties for these structures. This work extends known results to the context of complex intuitionistic fuzzy Lie algebras, contributing new insights into their behavior under algebraic mappings.

引用

页码：3291 / 3303

页数：13

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