On commuting automorphisms and commutator polygroups

Document Type : Research Paper

Author

Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.

Abstract

We introduce the notions of commuting automorphism and commutator polygroups. The basic question that can be arose about the set of all commuting automorphisms is that for the assumed polygroup $ ( P, \cdot )$, under what conditions the set of all commuting automorphism $ \boldsymbol {A} ( P) $ is a subgroup of $ Aut ( P)$. In this paper basically the answer to this question is investigated for the class of polygroups.

Keywords

References

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Algebraic Structures and Their Applications
Volume 12, Issue 1
February 2025
Pages 11-22

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