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Derived metabelian groups from hv-groups | ||
| Journal of Hyperstructures | ||
| دوره 8، شماره 1، شهریور 2019، صفحه 58-68 اصل مقاله (339.5 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2019.2613 | ||
| نویسندگان | ||
| Morteza Jafarpour* ؛ Mahdiyeh Iranmanesh؛ Hossien Aghabozorgi | ||
| Department of Mathematics, Vali-e-Asr university of Rafsanjan, Iran | ||
| چکیده | ||
| In this paper first we introduce and analyze a new definition of left and right commutators in Hv-group. Secondly, using commutators 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. | ||
| کلیدواژه‌ها | ||
| Hv-group؛ metabelian group؛ metabelian Hv-group؛ weak polygroup | ||
| مراجع | ||
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