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

2025/09/06 by Herrera, Karol, Higuera, Sebastián, Rubiano, Andrés
#14A22 #16P90 #16S36 #16S37 #16S80 #16W70 #16Z05 #FOS: Mathematics #Quantum Algebra (math.QA) #Rings and Algebras (math.RA)

paper · doi:10.48550/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.

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