IJPAM: Volume 108, No. 1 (2016)
Department of Mathematics
Faculty of Arts and Sciences
Yildiz Technical University
Davutpasa Campus, 34210, Esenler, Istanbul, TURKEY
Abstract. Let be a commutative ring with identity and be, not necessarily torsion-free, -module. Unique factorization module (UFM) is introduced via U-decomposition and it is shown that is a cyclic -module is necessary but not sufficient condition for to be a UFM.
Received: January 27, 2016
AMS Subject Classification: 13A05, 13C99, 13E99
Key Words and Phrases: unique factorizatition module, U-decomposition
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DOI: 10.12732/ijpam.v108i1.4 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 23 -