One-sided Noncommutative Groebner Bases with Applications to Green's Relations
| dc.creator | Heyworth, Anne | |
| dc.date | 1999-03-05 | |
| dc.date.accessioned | 2026-07-07T05:28:14Z | |
| dc.date.available | 2026-07-07T05:28:14Z | |
| dc.description | Standard noncommutative Gröbner basis procedures are used for computing ideals of free noncommutative polynomial rings over fields. This paper describes Gröbner basis procedures for one-sided ideals in finitely presented noncommutative algebras over fields. The polynomials defining a $K$-algebra $A$ as a quotient of a free $K$-algebra are combined with the polynomials defining a one-sided ideal $I$ of $A$, by using a tagging notation. Standard noncommutative Gröbner basis techniques can then be applied to the mixed set of polynomials, thus calculating $A/I$ whilst working in a free structure, avoiding the complication of computing in $A$. The paper concludes by showing how the results can be applied to completable presentations of semigroups and so enable calculations of Green's relations. | |
| dc.description | 15 pages, LaTeX2e, (submitted to J.Algebra) | |
| dc.identifier | https://arxiv.org/abs/math/9903033 | |
| dc.identifier | http://arxiv.org/abs/math/9903033 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78181 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16-04 16D15 20M10 08A50 | |
| dc.title | One-sided Noncommutative Groebner Bases with Applications to Green's Relations | |
| dc.type | text |