On commuting automorphisms and commutator polygroups
نویسندگان
1 Department of Mathematics, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran.
doi
10.22034/as.2024.17378.1469چکیده
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.