Bounds for Codimensions of Fitting Ideals
نویسندگان
چکیده
منابع مشابه
On the fitting ideals of a comultiplication module
Let $R$ be a commutative ring. In this paper we assert some properties of finitely generated comultiplication modules and Fitting ideals of them.
متن کاملLow upper bounds of ideals
We show that there is a low T -upper bound for the class of Ktrivial sets, namely those which are weak from the point of view of algorithmic randomness. This result is a special case of a more general characterization of ideals in ∆2 T -degrees for which there is a low T -upper bound.
متن کاملMultiplicity Bounds for Quadratic Monomial Ideals
We prove the multiplicity bounds conjectured by Herzog-HunekeSrinivasan and Herzog-Srinivasan in the following cases: the strong conjecture for edge ideals of forests, and the weaker Taylor bound conjecture for all quadratic monomial ideals. We determine when equality holds in the conjectured bound, and verify that when equality holds, the resolution is pure. We characterize forests that have C...
متن کاملRegularity Bounds for Binomial Edge Ideals
We show that the Castelnuovo–Mumford regularity of the binomial edge ideal of a graph is bounded below by the length of its longest induced path and bounded above by the number of its vertices.
متن کاملStickelberger ideals and Fitting ideals of class groups for abelian number fields
In this paper, we determine completely the initial Fitting ideal of the minus part of the ideal class group of an abelian number field over Q up to the 2-component. This answers an open question of Mazur and Wiles [11] up to the 2-component, and proves Conjecture 0.1 in [8]. We also study Brumer’s conjecture and prove a stronger version for a CM-field, assuming certain conditions, in particular...
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: 1997
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6999