Conjugate L-subgroups of An L-group and Their Applications to Normality and Normalizer. Issue 4 (2nd October 2022)

• Record Type: Journal Article
• Authors: Jahan, Iffat; Manas, Ananya
• Is Part Of: Fuzzy information and engineering. Volume 14:Issue 4(2022)
• Page Start: 488
• Page End: 508
• Publication Date: 2022-10-02
• Subjects: L-group -- L-subgroup -- Conjugate L-subgroup -- Normal L-subgroup -- Normalizer of An L-subgroup; Fuzzy systems -- Periodicals; Intelligent control systems -- Periodicals; 629.89
• DOI: 10.1080/16168658.2022.2152823
• Languages: English
• ISSNs: 1616-8658

Abstract

Abstract : In this paper, the notion of the conjugate of an L -subgroup by an L -point has been introduced. Then, several properties of conjugate L -subgroups have been studied analogous to their group-theoretic counterparts. Also, the notion of conjugacy has been investigated in the context of normality of L -subgroups. Furthermore, some important relationships between conjugate L -subgroups and normalizer have also been established. Finally, the normalizer of an L -subgroup has been defined by using the notion of conjugate L -subgroups.