Effective Detection of Nonsplit Module Extensions
| dc.creator | Letzter, Edward S. | |
| dc.date | 2002-06-13 | |
| dc.date | 2004-10-26 | |
| dc.date.accessioned | 2026-07-07T04:49:07Z | |
| dc.date.available | 2026-07-07T04:49:07Z | |
| dc.description | Let n be a positive integer, and let R be a finitely presented (but not necessarily finite dimensional) associative algebra over a computable field. We examine algorithmic tests for deciding (1) if every n-dimensional representation of R is semisimple, and (2) if there exist nonsplit extensions of non-isomorphic irreducible R-modules whose dimensions sum to no greater than n. Our basic strategy is to reduce each of the considered representation theoretic decision problems to the problem of deciding whether a particular set of commutative polynomials has a common zero. Standard methods of computational algebraic geometry can then be applied (in principle). | |
| dc.description | AMS-TeX; 13 pages; no figures. Revised version. To appear in Journal of Pure and Applied Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0206141 | |
| dc.identifier | http://arxiv.org/abs/math/0206141 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64300 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 16Z05; 14Q20 | |
| dc.title | Effective Detection of Nonsplit Module Extensions | |
| dc.type | text |