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Characterization of Derived Nilpotent (Engel) Lie Ring of Fuzzy Hyperrings by Using Fuzzy Strongly Regular Relationsopen access
- Issue Date
- Oct-2022
- Publisher
- Taylor & Francis
- Keywords
- (Nilpotent) Lie ring; Engel Lie ring; fuzzy hyperring; strongly regular relation
- Citation
- Fuzzy Information and Engineering, v.14, no.4, pp 407 - 424
- Pages
- 18
- Indexed
- SCOPUS
ESCI
- Journal Title
- Fuzzy Information and Engineering
- Volume
- 14
- Number
- 4
- Start Page
- 407
- End Page
- 424
- ISSN
- 1616-8658
1616-8666
- Abstract
- In this paper, we determined a new characterisation of the derived nilpotent (Engel) Lie ring of fuzzy hyperrings by fuzzy strongly regular relation zeta(& lowast;)(n)(nu(& lowast;)(n,s)). Moreover, we proved that for a fuzzy hyperring S, the quotient S/zeta(& lowast;)(n)(S/nu(& lowast;)(n,s)) was a nilpotent (Engel) Lie ring. Also, we introduced the notion of an-role of a fuzzy hyperring and investigated its essential properties. Basically, we stated a necessary and sufficient condition for transitivity of . Also, we studied the relation-ship between the strongly regular relation and-role of a given fuzzy hyperring.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)