Filtered-graded transfer of noncommutative Gröbner bases

Abstract

As the case of free $\mathbb{k}$-algebras and $PBW$ algebras, given a bijective skew $PBW$ extension $A$, we will show that it is possible transfer Gröbner bases between $A$ and its associated graded ring.

arXiv commentarXiv admin note: text overlap with arXiv:1309.0483 by other authors