[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2012.49.3.601

MODULE-THEORETIC CHARACTERIZATIONS OF KRULL DOMAINS

Kim, Hwan-Koo (Department of Information Security Hoseo University)

Publication Information

Bulletin of the Korean Mathematical Society / v.49, no.3, 2012 , pp. 601-608 More about this Journal

Abstract

The following statements for an infra-Krull domain $R$ are shown to be equivalent: (1) $R$ is a Krull domain; (2) for any essentially finite $w$ -module $M$ over $R$ , the torsion submodule $t(M)$ of $M$ is a direct summand of $M$ ; (3) for any essentially finite $w$ -module $M$ over $R$ , $t(M){\cap}pM=pt(M)$ , for all maximal $w$ -ideal $p$ of $R$ ; (4) $R$ satisfies the $w$ -radical formula; (5) the $R$ -module $R{\oplus}R$ satisfies the $w$ -radical formula.

Keywords

Krull domain; infra-Krull domain; strong Mori domain; $w$ -radical formula;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis) (Related Records In Web of Science)

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