Derived metabelian groups from hv-groups
In this paper first we introduce and analyze a new definition of left and right commutators in Hv-group. Secondly, usingcommutators we introduce a new strongly equivalence relation π∗ on an Hv-group H such that the quotient H/π∗, the set of all equivalence classes, is a metabelian group. Then we int...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Mohaghegh Ardabili
2019-06-01
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| Series: | Journal of Hyperstructures |
| Subjects: | |
| Online Access: | https://jhs.uma.ac.ir/article_2613_59e7bf28c81d08da853d0494e3bfe2a5.pdf |
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| Summary: | In this paper first we introduce and analyze a new definition of left and right commutators in Hv-group. Secondly, usingcommutators we introduce a new strongly equivalence relation π∗ on an Hv-group H such that the quotient H/π∗, the set of all equivalence classes, is a metabelian group. Then we introduce metabelian Hv-groups and investigate some of their properties. Finally, we investigate some properties of commutators for the class of weak polygroups. |
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| ISSN: | 2251-8436 2322-1666 |