The Freiheitssatz and the Automorphisms of Free Right-symmetric Algebras
نویسنده
چکیده
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. Mathematics Subject Classification (2000): Primary 17A36, 17A50; Secondary 17B01, 17B40, 17D25.
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