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Direct and semidirect product of n-ary polygroups via n-ary factor polygroups
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In this paper, we define an equivalence relation induced by [Formula: see text]-ary subpolygroups and show that such relation is full conjugation when [Formula: see text]-ary subpolygroup is normal. Then, we introduce a construction and some properties of direct product of [Formula: see text]-ary polygroups via [Formula: see text]-ary factor polygroups. This construction in principle is enlargement of elements of [Formula: see text]-ary polygroup except zero. Finally, we introduce and investigate the semidirect product of [Formula: see text]-ary polygroups via [Formula: see text]-ary factor polygroups.
World Scientific Pub Co Pte Ltd
Title: Direct and semidirect product of n-ary polygroups via n-ary factor polygroups
Description:
In this paper, we define an equivalence relation induced by [Formula: see text]-ary subpolygroups and show that such relation is full conjugation when [Formula: see text]-ary subpolygroup is normal.
Then, we introduce a construction and some properties of direct product of [Formula: see text]-ary polygroups via [Formula: see text]-ary factor polygroups.
This construction in principle is enlargement of elements of [Formula: see text]-ary polygroup except zero.
Finally, we introduce and investigate the semidirect product of [Formula: see text]-ary polygroups via [Formula: see text]-ary factor polygroups.
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