Auto-Engel Polygroups

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Mosayebi Dorcheh Ali; Hamidi Mohammad; Ameri Reza

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Journal Paper

Paper Information

Journal: Mathematics Interdisciplinary Research Year:2021 | Volume:6 | Issue:1 Page(s): 63-83

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Information Journal Paper

Title

Auto-Engel Polygroups

Author(s)

Mosayebi Dorcheh Ali | Hamidi Mohammad | Ameri Reza | Issue Writer Certificate

Keywords

Auto–Engel polygroup

characteristic(-closure) set

general fundamental relation

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.

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