Filtered-graded transfer of noncommutative Gr\"obner bases

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.Comment: arXiv admin note: text overlap with arXiv:1309.0483 by other author