Relation between Weakly Prime Elements and Weakly Prime Sub Modules
Weakly prime element, weakly prime sub module, factorization
Abstract
In this paper we give the defition of weakly prime element of a module. Therefore we give a new definition of factorization in a module, which is called weakly factorization. So we call a module weakly unique factorization which is unique. We give the relation between weakly prime elements and weakly prime sub modules Then we characterize such weakly unique factorization modules.
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References
D Anderson, Silvia Valdes-Leon (1906) Factorization in Commutative Rings with Zero Divisors, II. 189, 197-219.
A Azizi (2006) WEAKLY PRIME SUBMODULES AND PRIME SUBMODULES. 48(2), 343-346.
Chin-Pi Lu (1977) Factorial modules, Rocky Mountain. 7, 125-139.
A Nicolas (1966) Seminaire Dubrell-Pisot. 67.
D Norhcott (1968) Relation between weakly prime elements and weakly prime sub modules 22.
Published
2012-09-03
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