Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641)

Published 6 Sep 2025 in math.RA and math.QA | (2509.05583v1)

Abstract: In this paper, we compute the Gr\"obner-Shirshov bases for certain regular double extension algebras by means of an algorithm implemented in Matlab, which facilitates the underlying algebraic computations. Moreover, we establish that these families also admit a PBW basis.

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