On the transcendence degree of subfields of division algebras
نویسنده
چکیده
Abstract We study subfields of quotient division algebras of domains of finite GK dimension and introduce a combinatorial property we call the straightening property. We show that many classes of algebras have this straightening property and show that if A is a domain of GK dimension d with this property that is not PI, then the maximal subfields of the quotient division algebra of A have transcendence degree at most d− 1, proving a special case of a conjecture of Small.
منابع مشابه
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