On Shirshov bases of graded algebras
arXiv:1201.5837 · doi:10.1007/s11856-012-0175-0
Abstract
We prove that if the neutral component in a finitely-generated associative algebra graded by a finite group has a Shirshov base, then so does the whole algebra.
4 pages; v2: minor corrections in English; to appear in Israel J. Math