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- W2317669110 abstract "An integral domain D is called an essential ring if D = ∩ α V α where the V α are valuation rings which are quotient rings of D. D is called a v-multiplication ring if the finite divisorial ideals of D form a group. Griffin [ 2 , pp. 717-718] has observed that every v -multiplication ring is essential and that an essential ring having a defining family of valuation rings { V α } which is of finite character (i.e. every nonzero element of D is a non-unit in at most finitely many V α ) is necessarily a v -multiplication ring; but he conjectures that, in general, there exists an essential ring which is not a v -multiplication ring." @default.
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- W2317669110 date "1973-08-01" @default.
- W2317669110 modified "2023-09-24" @default.
- W2317669110 title "An Essential Ring Which is Not A <i>v</i>-Multiplication Ring" @default.
- W2317669110 doi "https://doi.org/10.4153/cjm-1973-088-5" @default.
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