Existence of homogeneous ideals fitting into long Bourbaki sequences
نویسندگان
چکیده
منابع مشابه
Existence of Homogeneous Ideals Fitting into Long Bourbaki Sequences
For any finitely generated torsion-free graded module over a polynomial ring, there exists a homogeneous ideal fitting into an exact sequence similar to a Bourbaki sequence even though its height is not restricted to two.
متن کاملSingle Spot Ideals of Codimension 3 and Long Bourbaki Sequences
Abstract. Let K be a field and S = K[x1, . . . , xn] be a polynomial ring. A single spot ideal I ⊂ S is a graded ideal whose local cohomology H m (S/I), i < dimS/I and m = (x1, . . . , xn), only has non-trivial value N , a finite length module, at i = depthS/I. We consider characterization of single spot ideals in terms of (long) Bourbaki sequences. The codimension 2 case has been fairly well i...
متن کاملInitial Ideals of Truncated Homogeneous Ideals
Denote by R the power series ring in countably many variables over a eld K; then R 0 is the smallest sub-algebra of R that contains all homogeneous elements. It is a fact that a homogeneous, nitely generated ideal J in R 0 have an initial ideal gr(J), with respect to an arbitrary admissible order, that is locally nitely generated in the sense that dimK gr(J) d P d?1 j=1 R 0 j gr(J) d?j < 1 for ...
متن کاملOn 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 کاملSegmentation of long genomic sequences into domains with homogeneous composition with BASIO software
UNLABELLED We present a software system BASIO that allows one to segment a sequence into regions with homogeneous nucleotide composition at a desired length scale. The system can work with arbitrary alphabet and therefore can be applied to various (e.g. protein) sequences. Several sequences of complete genomes of eukaryotes are used to demonstrate the efficiency of the software. AVAILABILITY ...
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: Proceedings of the American Mathematical Society
سال: 1999
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-99-04898-4