Essential and inessential elements of a standard basis

Details Essential and inessential elements of a standard basis Essential and inessential elements of a standard basis

2010-01-11

arxiv.org/abs/1001.1694v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

In this paper we introduce the concept of inessential element of a standard basis of I, where I is any homogeneous ideal of a polynomial ring. An inessential element is, roughly speaking, a form of the basis whose omission produces an ideal having the same saturation of I; it becomes useless in any dehomogenization of I with respect to a linear form. We study the properties of the basis linked to the presence of inessential elements and give some examples.

Affiliated with

Also associated with

No associations

Rating

Essential and inessential elements of a standard basis 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 Essential and inessential elements of a standard basis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Essential and inessential elements of a standard basis will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-719259