Growth of primary decompositions of Frobenius powers of ideals
نویسندگان
چکیده
منابع مشابه
Primary Decompositions of Powers of Ideals
Let R be a Noetherian ring and I an ideal. We prove that there exists an integer k such that for all n ≥ 1 there exists an irredundant primary decomposition I = q1 ∩ · · · ∩ ql such that √ qi nk ⊆ qi whenever ht (qi/I) ≤ 1. In particular, if R is a local ring with maximal ideal m and I is a prime ideal of dimension 1, then mI ⊆ I, where I denotes the n’th symbolic power of I . We study some asy...
متن کاملPowers of Ideals : Primary Decompositions , Artin -
Let R be a Noetherian ring and I an ideal in R. Then there exists an integer k such that for all n 1 there exists a primary decomposition I n = q 1 \ \ q s such that for all i, p q i nk q i. Also, for each homogeneous ideal I in a polynomial ring over a eld there exists an integer k such that the Castelnuovo-Mumford regularity of I n is bounded above by kn. The regularity part follows from the ...
متن کاملPowers of Ideals: Primary Decompositions, Artin-Rees Lemma and Regularity
The regularity part follows from the primary decompositions part, so the heart of this paper is the analysis of the primary decompositions. In [S], this was proved for the primary components of height at most one over the ideal. This paper proves the existence of such a k but does not provide a formula for it. In the paper [SS], Karen E. Smith and myself find explicit k for ordinary and Frobeni...
متن کاملcomparison of zoe and vitapex for canal treatment of necrotic primary teeth
چکیده ندارد.
15 صفحه اولLinear Resolutions of Powers of Generalized Mixed Product Ideals
Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper we compute powers of the genearlized mixed product ideals and show that Lk have a linear resolution if and only if Ik have a linear resolution for all k. We also introduce the generalized mixed polymatroidal ideals and prove that powers and monomial localizations of a generalized mixed polymatroidal ideal...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.10.022