Title of article
Derived metabelian groups from hv-groups
Author/Authors
Jafarpour ، Morteza Department of Mathematics - Vali-e-Asr university of Rafsanjan , Iranmanesh ، Mahdiyeh Department of Mathematics - Vali-e-Asr university of Rafsanjan , Aghabozorgi ، Hossien Department of Mathematics - Vali-e-Asr university of Rafsanjan
From page
58
To page
68
Abstract
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 pi; lowast; on an Hv-group H such that the quotient H/ pi; lowast;, 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.
Keywords
Hv , group , metabelian group , metabelian Hv , group , weak polygroup
Journal title
Journal of Hyperstructures
Journal title
Journal of Hyperstructures
Record number
2774477
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