Note on valuative dimension in power series rings
نویسندگان
چکیده
منابع مشابه
Gorenstein Weak Dimension of a Coherent Power Series Rings
We compute the Gorenstein weak dimension of a coherent power series rings over a commutative rings and we show that, in general, Gwdim (R) ≤ 1 does not imply that R is an arithmetical ring.
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We next want to construct a much larger ring in which infinite sums of multiples of elements of S are allowed. In order to insure that multiplication is well-defined, from now on we assume that S has the following additional property: (#) For all s ∈ S, {(s1, s2) ∈ S × S : s1s2 = s} is finite. Thus, each element of S has only finitely many factorizations as a product of two elements. For exampl...
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ژورنال
عنوان ژورنال: Arabian Journal of Mathematics
سال: 2014
ISSN: 2193-5343,2193-5351
DOI: 10.1007/s40065-014-0112-7