[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2011.24.3.21

SOME EXAMPLES OF ALMOST GCD-DOMAINS

Chang, Gyu Whan (Department of Mathematics University of Incheon)

Publication Information

Journal of the Chungcheong Mathematical Society / v.24, no.3, 2011 , pp. 601-607 More about this Journal

Abstract

Let D be an integral domain, X be an indeterminate over D, and D[X] be the polynomial ring over D. We show that D is an almost weakly factorial PvMD if and only if D + XDS[X] is an integrally closed almost GCD-domain for each (saturated) multiplicative subset S of D, if and only if $D+XD_1[X]$ is an integrally closed almost GCD-domain for any t-linked overring $D_1$ of D, if and only if $D_1+XD_2[X]$ is an integrally closed almost GCD-domain for all t-linked overrings $D_1{\subseteq}D_2$ of D.

Keywords

almost GCD-domain; AWFD; PvMD; t-linked overring;

Citations & Related Records

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