Czasopismo
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Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
This paper is a continuation of the investigation of almost Prüfer v-multiplication domains (APVMDs) begun by Li [Algebra Colloq., to appear]. We show that an integral domain D is an APVMD if and only if D is a locally APVMD and D is well behaved. We also prove that D is an APVMD if and only if the integral closure D̅ of D is a PVMD, D ⊆ D̅ is a root extension and D is t-linked under D̅. We introduce the notion of an almost t-splitting set. $D^{(S)}$ denotes the ring $D + XD_S[X]$, where S is a multiplicatively closed subset of D. We show that the ring $D^{(S)}$ is an APVMD if and only if $D^{(S)}$ is well behaved, D and $D_S[X]$ are APVMDs, and S is an almost t-splitting set in D.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
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Rocznik
Tom
Numer
Strony
239-247
Opis fizyczny
Daty
wydano
2010
Twórcy
autor
- College of Computer Science and Technology, Southwest University for Nationalities, Chengdu 610041, P.R. China
Bibliografia
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-doi-10_4064-cm121-2-6