Wedderburn polynomials over division rings, II
| dc.creator | Lam, T. Y. | |
| dc.creator | Leroy, A. | |
| dc.creator | Ozturk, A. | |
| dc.date | 2007-06-24 | |
| dc.date.accessioned | 2026-07-07T08:12:08Z | |
| dc.date.available | 2026-07-07T08:12:08Z | |
| dc.description | 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. | |
| dc.description | 31 pages, sequel of the paper entitled "Wedderburn polynomial over division rings, published in Journal of Pure and Applied Algebra, 186 (2004) 43-76. 26 Cf. also http://users.skynet.be/sky83817/ | |
| dc.identifier | https://arxiv.org/abs/0706.3515 | |
| dc.identifier | http://arxiv.org/abs/0706.3515 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132351 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S36; 16K40 | |
| dc.title | Wedderburn polynomials over division rings, II | |
| dc.type | text |