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

• Published in: Fuzzy 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
• Language: English
• 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

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...