IJPAM: Volume 18, No. 3 (2005)

SOME FACTORIZATION PROPERTIES
IN COMMUTATIVE RINGS

M. Alan$^1$, A.G. Agargün$^2$
$^{1,2}$Department of Mathematics
Faculty of Arts and Sciences
Yildiz Technical University
Davutpasa Campus, Istanbul, 34210, TURKEY
$^1$e-mail: alan@yildiz.edu.tr
$^2$e-mail: agar@yildiz.edu.tr


Abstract.Some factorization properties are investigated in the context of commutative rings with zero divisors. Especially we introduce the notion of a finite decomposition ring (FDR) which is equivalent to an FFD for the domain case and by this definition each UFR is an FDR. Directed union of commutative rings having these factorization properties are also considered.

Received: November 26, 2004

AMS Subject Classification: 13F15, 13F99

Key Words and Phrases: factorization, FDR

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2005
Volume: 18
Issue: 3