The Freiheitssatz and the automorphisms of free right-symmetric algebras

Details The Freiheitssatz and the automorphisms of free right-symmetric algebras The Freiheitssatz and the automorphisms of free right-symmetric algebras

2008-07-03

arxiv.org/abs/0807.0608v1

Mathematics

Rings and Algebras

11 pages

Scientific paper

We prove the Freiheitssatz for right-symmetric algebras and the decidability
of the word problem for right-symmetric algebras with a single defining
relation. We also prove that two generated subalgebras of free right-symmetric
algebras are free and automorphisms of two generated free right-symmetric
algebras are tame.

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