نتایج جستجو برای: powers of ideals
تعداد نتایج: 21167251 فیلتر نتایج به سال:
We explore the connection between ideals of fat points (which correspond to subschemes of Pn obtained by intersecting (mixed) powers of ideals of points), and piecewise polynomial functions (splines) on a d-dimensional simplicial complex ∆ embedded in R. Using the inverse system approach introduced by Macaulay [11], we give a complete characterization of the free resolutions possible for ideals...
In [HH7], developing arguments in [HH5], Hochster and Huneke used classical tight closure techniques to prove a fine behavior of symbolic powers of ideals in regular rings. In this paper, we use generalized test ideals, which are a characteristic p analogue of multiplier ideals, to give a generalization of Hochster-Huneke's results.
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Suppose M is a maximal ideal of a commutative integral domain R and that some power Mn of M is finitely generated. We show that M is finitely generated in each of the following cases: (i) M is of height one, (ii) R is integrally closed and htM = 2, (iii) R = K[X; S̃] is a monoid domain over a field K, where S̃ = S ∪ {0} is a cancellative torsion-free monoid such that ⋂∞ m=1 mS = ∅, and M is the m...
Introduction Let be a Noetherian ring with unity and be a regular ideal of , that is, contains a nonzerodivisor. Let . Then . The :union: of this family, , is an interesting ideal first studied by Ratliff and Rush in [15]. The Ratliff-Rush closure of is defined by . A regular ideal for which is called Ratliff-Rush ideal. The present paper, reviews some of the known prop...
utopia has, for four centuries, accompanied that hope of progress and that striving for betterment. it now straggles against a widespread sense that this has been an illusion, or an impossible dream. the utopian idea can never entirely disappear, but utopia as a form of the social imagination has clearly weakened. if it cannot instill its vision in the public consciousness, the consequences...
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