Finite Gröbner-Shirshov bases for double extension regular algebras of type (14641)
arXiv:2509.05583
Abstract
In this paper, we compute the Gröbner-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.
26 pages, 4 tables