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The Freiheitssatz and automorphisms for free brace algebras
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The Freiheitssatz and automorphisms for free brace algebras
classification
math.RA
keywords
algebrasbracefreeautomorphismsfreiheitssatzgeneratedcharacteristicdecidable
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Over a field of characteristic zero, we prove that the Freiheitssatz holds for brace algebras, the word problem for the brace algebras with a single defining relation is decidable, two generated subalgebras of free brace algebras are free, and that automorphisms of two generated free brace algebras are tame.
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