The centralizer near-ring of an inverse semigroup of endomorphisms of a group |
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| Authors: | Lucyna Kabza |
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| Institution: | Department of Mathematics and Computer Science , State Univeristy of New York, College at Fredonia , Rredonia, NY, 14063 |
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| Abstract: | Let G be a group and S an inverse semigroup of endomorphisms of G. The simplicity of the centralizer near- ring MS(G) = {fε M(G)‖foα = αo f, ?αεS} is characterized. The necessary and sufficient conditions are given for simplicity of Ms(G) in terms of the structure of G and S. |
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