Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra
Rings and Algebras
2010-11-24 v1
Abstract
We establish the Composition-Diamond lemma for non-associative algebras over a free commutative algebra. As an application, we prove that every countably generated non-associative algebra over an arbitrary commutative algebra can be embedded into a two-generated non-associative algebra over .
Keywords
Cite
@article{arxiv.1009.0196,
title = {Composition-Diamond Lemma for Non-associative Algebras over a Commutative Algebra},
author = {Yuqun Chen and Jing Li and Mingjun Zeng},
journal= {arXiv preprint arXiv:1009.0196},
year = {2010}
}
Comments
10 pages