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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.11 No.2

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WEAKLY KRULL AND RELATED PULLBACK DOMAINS

Weakly Krull and Related Pullback Domains

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.2, pp.117-125
Chang, Gyu-Whan (Dept. of Mathematics, University of Inchon)
Chang, Gyu-Whan. (2004). WEAKLY KRULL AND RELATED PULLBACK DOMAINS, 11(2), 117-125.

Abstract

Let T be an integral domain, M a nonzero maximal ideal of T, K = T/M, $\psi$: T \longrightarrow K the canonical map, D a proper subring of K, and R = $\psi^{-1}$(D) the pullback domain. Assume that for each $x \; \in T$, there is a $u \; \in T$ such that u is a unit in T and $ux \; \in R$, . In this paper, we show that R is a weakly Krull domain (resp., GWFD, AWFD, WFD) if and only if htM = 1, D is a field, and T is a weakly Krull domain (resp., GWFD, AWFD, WFD).

keywords
weakly Krull domain, GWFD, AWFD, WFD, pullback domain

한국수학교육학회지시리즈B:순수및응용수학

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