منابع مشابه
On t-reductions of ideals in pullbacks
Let R be an integral domain and I a nonzero ideal of R. An ideal J ⊆ I is a t-reduction of I if (JI)t = (I)t for some positive integer n; and I is t-basic if it has no t-reduction other than the trivial ones. This paper investigates t-reductions of ideals in pullback constructions of type . Section 2 examines the correlation between the notions of reduction and t-reduction in pseudo-valuation d...
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We present a randomized polynomial-time algorithm to generate a random integer according to the distribution of norms of ideals at most N in any given number field, along with the factorization of the integer. Using this algorithm, we can produce a random ideal in the ring of algebraic integers uniformly at random among ideals with norm up to N , in polynomial time. We also present a variant of...
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The problem of computing a minimal set of generators for the ideal of a rational parametric projective curve has been tackled by elimination theory and can be solved by the computation of Gröbner bases (see, for example Kalkbrener, 1991; Licciardi and Mora, 1994; Gao and Chou, 1992; Fix et al., 1996, and references therein). These methods have been implemented in CoCoA 3.6 (Capani et al., 1995)...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2009
ISSN: 1939-2346
DOI: 10.1216/jca-2009-1-2-275