On Factorization in Modules |
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| Authors: | A Nikseresht |
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| Institution: | Department of Mathematics, College of Sciences , Shiraz University , Shiraz, Iran |
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| Abstract: | In two articles, Anderson and Valdes-Leon generalized the theory of factorization in integral domains to commutative rings with zero divisors and to modules. Here we investigate some factorization properties in modules and state a result that relates factorization properties of an R-module, M, to the factorization properties of M as an (R/Ann(M))-module. Furthermore, we will investigate when a polynomial module, Mx], has the bounded factorization property, assuming that M has this property. |
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| Keywords: | Bounded factorization module Irreducible element Présimplifiable Primitive element Unique factorization module Weakly présimplifiable |
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