SOCLE SERIES OF A COMMUTATIVE ARTINIAN RING
نویسندگان
چکیده
منابع مشابه
Artinian Subrings of a Commutative Ring
Given a commutative ring R, we investigate the structure of the set of Artinian subrings of R . We also consider the family of zero-dimensional subrings of R. Necessary and sufficient conditions are given in order that every zero-dimensional subring of a ring be Artinian. We also consider closure properties of the set of Artinian subrings of a ring with respect to intersection or finite interse...
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Let Q = k[[x1, . . . , xn]] be the power series ring over a field k. Artinian Gorenstein quotients R = Q/I whose unique maximal ideal m satisfies ms 6= 0 = ms+1 are in correspondence via the Macaulay inverse system with degree s polynomials in n variables. Bøgvad constructed examples for which the Poincaré series of k over R is irrational. When s is even, we prove that such examples are rare. M...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2002
ISSN: 1027-5487
DOI: 10.11650/twjm/1500407433