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arxiv: 1010.3502 · v1 · pith:3ZFRWBHTnew · submitted 2010-10-18 · 🧮 math.RA

Degree estimate for subalgebras

classification 🧮 math.RA
keywords degreeelementsalgebraarbitraryassociativebergmanboundcentralizers
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Based on Bergman's Lemma on centralizers, we obtain a sharp lower degree bound for nonconstant elements in a subalgebra generated by two elements of a free associative algebra over an arbitrary field.

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