Subalgebra Analogue to Standard Basis for Ideal

Details Subalgebra Analogue to Standard Basis for Ideal Subalgebra Analogue to Standard Basis for Ideal

2009-09-29

arxiv.org/abs/0909.5329v1

Mathematics

Commutative Algebra

Scientific paper

The theory of "subalgebra basis" analogous to standard basis (the generalization of Gr\"{o}bner bases to monomial ordering which are not necessarily well ordering \cite{GP1}.) for ideals in polynomial rings over a field is developed. We call these bases "SASBI Basis" for "Subalgebra Analogue to Standard Basis for Ideals". The case of global orderings, here they are called "SAGBI Basis" for "Subalgebra Analogue to Gr\"{o}bner Basis for Ideals", is treated in \cite{RS1}. Sasbi bases may be infinite. In this paper we consider subalgebras admitting a finite Sasbi basis and give algorithms to compute them. The algorithms have been implemented as a library for the computer algebra system SINGULAR \cite{GPS1}.

Affiliated with

Also associated with

No associations

Rating

Subalgebra Analogue to Standard Basis for Ideal 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 Subalgebra Analogue to Standard Basis for Ideal, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subalgebra Analogue to Standard Basis for Ideal will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-664860