[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2004.41.3.473

FACTORIZATION AND DIVISIBILITY IN GENERALIZED REES RINGS

Kim, Hwan-Koo (Information Security Major, Division of Computer Engineering, Hoseo University)
Kwon, Tae-In (Department of Applied Mathematics, Changwon National University)
Park, Young-Soo (Department of Mathematics, Kyungpook National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.41, no.3, 2004 , pp. 473-482 More about this Journal

Abstract

Let D be an integral domain, I a proper ideal of D, and R =D[It, $t^{-1}$ ] a generalized Rees ring, where t is an indeterminate. For suitable conditions, we show that R satisfies the ACCP (resp., is a BFD, an FFD, a (pre-) Schreier domain, a G-GCD domain, a PVMD, a v-domain) if and only if D satisfies the ACCP (resp., is a BFD, an FFD, a (pre-) Schreier domain, a G-GCD domain, a PVMD, a v-domain).

Keywords

ACCP; BFD; FFD; (pre-) Schreier; G-GCD domain; PVMD; v-domain;

Citations & Related Records

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