Weakly unique factorization modules

Main Article Content

Kursat Hakan Oral
Unsal Tekir
Ahmet Goksel Agargun

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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How to Cite
Oral, K. H., Tekir, U., & Agargun, A. G. (2010). Weakly unique factorization modules. Tamkang Journal of Mathematics, 41(3), 245–252. https://doi.org/10.5556/j.tkjm.41.2010.729
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Papers
Author Biographies

Kursat Hakan Oral

Yildiz Technical University, Department of Mathematics, 34720, Istanbul, Turkey.

Unsal Tekir

Marmara University, Department of mathematics, Ziverbey, Goztepe,34722, Istanbul, Turkey.

Ahmet Goksel Agargun

Yildiz Technical University, Department of Mathematics, 34720, Istanbul, Turkey.