An analogue of the Magnus problem for associative algebras

Details An analogue of the Magnus problem for associative algebras An analogue of the Magnus problem for associative algebras

2008-01-19

arxiv.org/abs/0801.3009v1

J. Math.Sci (New York), 131, no. 6 (2005), 6023-6026

Mathematics

Rings and Algebras

Scientific paper

10.1007/s10958-005-0457-8

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.

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