An Analogue of the Magnus Problem for Associative Algebras |
| |
| Authors: | V Dotsenko N Iyudu D Korytin |
| |
| Institution: | (1) Moscow State University, Moscow, Russia;(2) Independent University of Moscow, Moscow, Russia |
| |
| 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.
__________
Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 14, Algebra,
2004. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
