Title of article
Auto-Engel Polygroups
Author/Authors
Mosayebi-Dorcheh, Ali Department of Mathematics - Payame Noor University, Tehran, Iran , Hamidi, Mohammad Department of Mathematics - Payame Noor University, Tehran, Iran , Ameri, Reza chool of Mathematics - Statistics and Computer Sciences - University of Tehran, Tehran, I. R. Iran
Pages
21
From page
63
To page
83
Abstract
This paper introduces the concept of auto–Engel polygroups via the heart of hypergroups and investigates the relation between of auto–Engel polygroups and auto–nilpotent polygroups. Indeed, we show that the concept of heart of hypergroups plays an important role on construction of auto–Engel polygroups. This study considers the notation of characteristic set in hypergroups with respect to automorphism of hypergroups and shows that the heart of hypergroups is a characteristic set in hypergroups.
Keywords
Auto–Engel polygroup , characteristic(-closure) set , general fundamental relation
Journal title
Mathematics Interdisciplinary Research
Serial Year
2021
Record number
2690058
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