On Some Center-like Subsets of Groups
نویسندگان
چکیده
We study the properties of certain center-like subsets of groups, which are obtained by localizing setwise commutativity conditions. 1. Introduction. Let G denote a group with center Z = Z(G); and for each subset A of G, denote by C(A) the centralizer of A in G. In this paper, we define several " center-like " subsets of G, investigate their properties and establish conditions for them to coincide with Z.
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