# An Analogue of the Magnus Problem for Associative Algebras

- Authors
- Type
- Published Article
- Journal
- Journal of Mathematical Sciences
- Publisher
- Kluwer Academic Publishers-Consultants Bureau
- Publication Date
- Dec 01, 2005
- Volume
- 131
- Issue
- 6
- Pages
- 6023–6026
- Identifiers
- DOI: 10.1007/s10958-005-0457-8
- Source
- Springer Nature
- Keywords
- License
- Yellow

## 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.