Degree estimate for subalgebras

Details Degree estimate for subalgebras Degree estimate for subalgebras

2010-10-18

arxiv.org/abs/1010.3502v1

Mathematics

Rings and Algebras

10 pages

Scientific paper

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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