1. 基于模糊超群构建的 Engel 群及其性质研究.
- Author
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阎熠, 闫焱, 张晓婷, and 王悦
- Abstract
By constructing the smallest equivalence relation v* on a fuzzy hypergroup(H,.) satisfying the Engel decreasing condition, the quotient group(the set of equivalence classes) H/v* constructed by the fuzzy hypergroup with respect to the equivalence relation is an Engel group, and the Engel group is characterized by the strong regularity of the equivalence relation. Finally, the concept of the v-part of the fuzzy hypergroup is introduced, and the necessary and sufficient condition for the equivalence relation v to be transitive is determined. [ABSTRACT FROM AUTHOR]
- Published
- 2024