Piecewise Endomorphisms of Pid-Modules |
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Authors: | C J Maxson |
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Institution: | 1. Department of Mathematics, Texas A&M University, College Station, TX, 77843, USA
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Abstract: | Let G be a finitely generated module over a PID, D. We investigate the structure of the centralizer near-ring MD(G) = {f: G → G ¦ f(ar) = (fa)r,a ∈ G, r ∈ D}. If C = {Gα} is a cover of G by maximal cyclic submodules then we show that every f ∈ MD(G) is piecewise an endomorphism of G. |
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