Composition-Diamond Lemma for Tensor Product of Free Algebras
classification
🧮 math.RA
keywords
otimesalgebrasbasiscomposition-diamondfreegroebner-shirshovlemmaproduct
read the original abstract
In this paper, we establish Composition-Diamond lemma for tensor product $k< X> \otimes k< Y>$ of two free algebras over a field. As an application, we construct a Groebner-Shirshov basis in $k< X> \otimes k< Y>$ by lifting a Groebner-Shirshov basis in $k[X] \otimes k< Y>$, where $k[X]$ is a commutative algebra.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.