Co-Hopfian Modules of Generalized Inverse Polynomials |
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| Authors: | Zhong Kui Liu Yuan Fan |
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| Affiliation: | (1) Department of Mathematics, Northwest Normal University, Lanzhou, 730070, P. R. China, E-mail: liuzk@nwnu.edu.cn, CN;(2) Department of Economics, Northwest Normal University, Lanzhou, 730070, P. R. China, E-mail: gxsecfy@lz.gs.cninfo.net, CN |
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| Abstract: | Let R be an associative ring not necessarily possessing an identity and (S, ≤) a strictly totally ordered monoid which is also artinian and satisfies that 0 ≤s for any s∈S. Assume that M is a left R-module having propertiy (F). It is shown that M is a co-Hopfian left R-module if and only if [M S , ≤] is a co-Hopfian left [[R S , ≤]]-module. Received October 14, 1998, Accepted October 15, 1999 |
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| Keywords: | Co-Hopfian module Generalized power series Generalized inverse polynomials |
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