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arxiv: math/0606517 · v1 · submitted 2006-06-21 · 🧮 math.RA · math.AC

Cancellation conjecture for free associative algebras

classification 🧮 math.RA math.AC
keywords conjecturealgebrasassociativecancellationfreerankcharacteristicdeal
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We develop a new method to deal with the Cancellation Conjecture of Zariski in different environments. We prove the conjecture for free associative algebras of rank two. We also produce a new proof of the conjecture for polynomial algebras of rank two over fields of zero characteristic.

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