19 citations · 22 across the 6 of their papers we have counts for
6 papers
Enumeration and Asymptotic Formulas for Rectangular Partitions of the Hypercube
Yu Hin Au, Fatemeh Bagherzadeh, Murray R. Bremner
We study a two-parameter generalization of the Catalan numbers: is the number of ways to subdivide the -dimensional hypercube into rectangular blocks using orth…
Operadic approach to cohomology of associative triple and N-tuple systems
Fatemeh Bagherzadeh, Murray Bremner
The cup product in the cohomology of algebras over quadratic operads has been studied in the general setting of Koszul duality for operads. We study the cup product on the cohomolo…
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…
Classification of finite W-groups
Fatemeh Bagherzadeh
We determine the structure of the W-group , the small Galois quotient of the absolute Galois group of the Pythagorean formally real field when the space of…
Commutativity in double interchange semigroups
Fatemeh Bagherzadeh, Murray Bremner
We extend the work of Kock (2007) and Bremner & Madariaga (2016) on commutativity in double interchange semigroups (DIS) to relations with 10 arguments. Our methods involve the fre…
Jordan Trialgebras and Post-Jordan Algebras
Fatemeh Bagherzadeh, Murray Bremner, Sara Madariaga
We compute minimal sets of generators for the S_n-modules (n <= 4) of multilinear polynomial identities of arity n satisfied by the Jordan product and the Jordan diproduct (resp. p…