19 citations · 201 across the 54 of their papers we have counts for
Showing 2018 · math.RAShow all
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math.RA2018★ 1 cited
Gröbner bases and dimension formulas for ternary partially associative operads
Fatemeh Bagherzadeh, Murray Bremner
Dotsenko and Vallette discovered an extension to nonsymmetric operads of Buchberger's algorithm for Gröbner bases of polynomial ideals. In the free nonsymmetric operad with one ter…
math.RA2018★ 1 cited
Special Identities for Comtrans Algebras
Murray R. Bremner, Hader A. Elgendy
Comtrans algebras, arising in web geometry, have two trilinear operations, commutator and translator. We determine a Gröbner basis for the comtrans operad, and state a conjecture o…
math.RA2018★ 12 cited
Symmetrization of Jordan dialgebras
Murray R. Bremner
A basic problem for any class of nonassociative algebras is to determine the polynomial identities satisfied by the symmetrization and the skew-symmetrization of the original produ…