2010•Tamkang Journal of MathematicsOpen access
Weakly unique factorization modules
Kürşat Hakan Oral, Ünsal Teki̇̀r, Ahmet Ağargün
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Abstract
In this work we give the definition 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 module if all elements have a weakly factorization which is unique. We give the relation between weakly prime elements and weakly prime submodules. Then we characterize such weakly unique factorization modules.
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