Extended degree functions and monomial modules

Details Extended degree functions and monomial modules Extended degree functions and monomial modules

2004-06-21

arxiv.org/abs/math/0406409v1

Trans. Am. Math. Soc. 358, No. 8, 3571-3589 (2006)

Mathematics

Commutative Algebra

20 pages

Scientific paper

The arithmetic degree, the smallest extended degree, and the homological degree are invariants that have been proposed as alternatives of the degree of a module if this module is not Cohen-Macaulay. We compare these degree functions and study their behavior when passing to the generic initial or the lexicographic submodule. This leads to various bounds and to counterexamples to a conjecture of Gunston and Vasconcelos, respectively. Particular attention is given to the class of sequentially Cohen-Macaulay modules. The results in this case lead to an algorithm that computes the smallest extended degree.

Affiliated with

Also associated with

No associations

Rating

Extended degree functions and monomial modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Extended degree functions and monomial modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extended degree functions and monomial modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57621