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Filtered-graded transfer of noncommutative Gröbner bases

Published 25 Oct 2015 in math.RA | (1510.07191v1)

Abstract: As the case of free $\Bbbk$-algebras and $PBW$ algebras, given a bijective skew $PBW$ extension $A$, we will show that it is possible transfer Gr\"obner bases between $A$ and its associated graded ring.

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