IJPAM: Volume 108, No. 1 (2016)

ON UNIQUE FACTORIZATION MODULES

Murat Alan$^1$, Elif Özbulur$^2$
$^{1,2}$Department of Mathematics
Faculty of Arts and Sciences
Yildiz Technical University
Davutpasa Campus, 34210, Esenler, Istanbul, TURKEY


Abstract. Let $R$ be a commutative ring with identity and $M$ be, not necessarily torsion-free, $R$-module. Unique factorization module (UFM) is introduced via U-decomposition and it is shown that $M$ is a cyclic $R$-module is necessary but not sufficient condition for $M$ 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
Year: 2016
Volume: 108
Issue: 1
Pages: 23 -


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