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arxiv: 1510.07191 · v1 · pith:DX6MXOG3new · submitted 2015-10-25 · 🧮 math.RA

Filtered-graded transfer of noncommutative Gr\"obner bases

classification 🧮 math.RA
keywords algebrasbasesobnertransferassociatedbbbkbijectivecase
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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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