Mathematics – Rings and Algebras
Scientific paper
1999-03-05
Mathematics
Rings and Algebras
15 pages, LaTeX2e, (submitted to J.Algebra)
Scientific paper
Standard noncommutative Gr\"obner basis procedures are used for computing ideals of free noncommutative polynomial rings over fields. This paper describes Gr\"obner 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 Gr\"obner 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.
No associations
LandOfFree
One-sided Noncommutative Groebner Bases with Applications to Green's Relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with One-sided Noncommutative Groebner Bases with Applications to Green's Relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and One-sided Noncommutative Groebner Bases with Applications to Green's Relations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-617727