An analogue of the Magnus problem for associative algebras
arXiv:0801.3009 · doi:10.1007/s10958-005-0457-8
Abstract
We prove an analogue of the Magnus theorem for associative algebras without unity over arbitrary fields. Namely, if an algebra is given by n+k generators and k relations and has an n-element system of generators, then this algebra is a free algebra of rank n.