Characterization of Derived Nilpotent (Engel) Lie Ring of Fuzzy Hyperrings by Using Fuzzy Strongly Regular Relations

In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation ( ). Moreover, we proved that for a fuzzy hyperring S, the quotient ( ) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an ζ-role o...

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Bibliographic Details
Published inFuzzy information and engineering Vol. 14; no. 4; pp. 407 - 424
Main Authors Mohammadzadeh, E., Borzooei, R. A., Mohammadzadeh, F., Ahn, S. S.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.10.2022
Taylor & Francis Group
Tsinghua University Press
Subjects
(Nilpotent) Lie ring
17B62
20N20
Engel Lie ring
fuzzy hyperring
strongly regular relation
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Summary:In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation ( ). Moreover, we proved that for a fuzzy hyperring S, the quotient ( ) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an ζ-role of a fuzzy hyperring and investigated its essential properties. Basically, we stated a necessary and sufficient condition for transitivity of ζ. Also, we studied the relationship between the strongly regular relation and ζ-role of a given fuzzy hyperring.
ISSN:1616-8658
1616-8666
DOI:10.1080/16168658.2022.2152883