Algebraic and F-Independent sets in 2-firs

Details Algebraic and F-Independent sets in 2-firs Algebraic and F-Independent sets in 2-firs

2004-11-28

arxiv.org/abs/math/0411622v1

Communications in Algebra, Vol. 32 (5) (2004)

Mathematics

Rings and Algebras

Scientific paper

Let $R$ denote a 2-fir. The notions of F-independence and algebraic subsets of R are defined. The decomposition of an algebraic subset into similarity classes gives a simple way of translating the F-independence in terms of dimension of some vector spaces. In particular to each element $a \in R$ is attached a certain algebraic set of atoms and the above decomposition gives a lower bound of the length of the atomic decompositions of $a$ in terms of dimensions of certain vector spaces. A notion of rank is introduced and fully reducible elements are studied in details.

Affiliated with

Also associated with

No associations

Rating

Algebraic and F-Independent sets in 2-firs 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 Algebraic and F-Independent sets in 2-firs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic and F-Independent sets in 2-firs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-672096