The Steinberg group of a monoid ring, nilpotence, and algorithms
| dc.creator | Gubeladze, Joseph | |
| dc.date | 2006-01-17 | |
| dc.date | 2006-03-07 | |
| dc.date.accessioned | 2026-07-07T06:58:59Z | |
| dc.date.available | 2026-07-07T06:58:59Z | |
| dc.description | For a regular ring R and an affine monoid M the homotheties of M act nilpotently on the Milnor unstable groups of R[M]. This strengthens the K_2 part of the main result of [G5] in two ways: the coefficient field of characteristic 0 is extended to any regular ring and the stable K_2-group is substituted by the unstable ones. The proof is based on a polyhedral/combinatorial techniques, computations in Steinberg groups, and a substantially corrected version of an old result on elementary matrices by Mushkudiani [Mu]. A similar stronger nilpotence result for K_1 and algorithmic consequences for factorization of high Frobenius powers of invertible matrices are also derived. | |
| dc.description | final version, to appear in Journal of Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0601400 | |
| dc.identifier | http://arxiv.org/abs/math/0601400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107582 | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Group Theory | |
| dc.subject | 14M25, 19B14, 19C09, 20G35, 52B20 | |
| dc.title | The Steinberg group of a monoid ring, nilpotence, and algorithms | |
| dc.type | text |