Groebner bases of ideals invariant under endomorphisms
| dc.creator | Drensky, Vesselin | |
| dc.creator | La Scala, Roberto | |
| dc.date | 2005-10-27 | |
| dc.date | 2006-03-07 | |
| dc.date.accessioned | 2026-07-07T06:47:59Z | |
| dc.date.available | 2026-07-07T06:47:59Z | |
| dc.description | We introduce the notion of Groebner S-basis of an ideal of the free associative algebra K<X> over a field K invariant under the action of a semigroup S of endomorphisms of the algebra. We calculate the Groebner S-bases of the ideal corresponding to the universal enveloping algebra of the free nilpotent of class 2 Lie algebra and of the T-ideal generated by the polynomial identity [x,y,z]=0, with respect to suitable semigroups S. In the latter case, if |X|>2, the ordinary Groebner basis is infinite and our Groebner S-basis is finite. We obtain also explicit minimal Groebner bases of these ideals. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0510589 | |
| dc.identifier | http://arxiv.org/abs/math/0510589 | |
| dc.identifier | Journal of Symbolic Computation 41 (2006), No. 7, 835-846. | |
| dc.identifier | doi:10.1016/j.jsc.2006.04.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103835 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16S15 (Primary). 16R10; 16S30; 16W50 (Secondary) | |
| dc.title | Groebner bases of ideals invariant under endomorphisms | |
| dc.type | text |