Wedderburn polynomials over division rings, II

Details Wedderburn polynomials over division rings, II Wedderburn polynomials over division rings, II

2007-06-24

arxiv.org/abs/0706.3515v1

Mathematics

Rings and Algebras

31 pages, sequel of the paper entitled "Wedderburn polynomial over division rings, published in Journal of Pure and Applied Al

Scientific paper

A polynomial $f(t)$ in an Ore extension $K[t;S,D]$ over a division ring $K$ is a Wedderburn polynomial if $f(t)$ is monic and is the minimal polynomial of an algebraic subset of $K$. These polynomials have been studied in "Wedderburn polynomials over division rings,I (Journal of Pure and Applied Algebra, Vol. 186, (2004), 43-76). In this paper, we continue this study and give some applications to triangulation, diagonalization and eigenvalues of matrices over a division ring in the general setting of $(S,D)$-pseudo-linear transformations. In the last section we introduce and study the notion of $G$-algebraic sets which, in particular, permits generalization of Wedderburn's theorem relative to factorization of central polynomials.

Affiliated with

Also associated with

No associations

Rating

Wedderburn polynomials over division rings, II 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 Wedderburn polynomials over division rings, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wedderburn polynomials over division rings, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704326