Murray R. Bremner

collaborators

3 papers

math.CO2025

A new generalization of the Narayana numbers inspired by linear operators on associative $d$ -ary algebras

Yu Hin Au, Murray R. Bremner

We introduce and study a generalization of the Narayana numbers $N_{d} (n, k) = \frac{1}{n + 1} (k + 1 n + 1) (k n + ( n - k ) ( d - 2 ) + 1)$ for integers $d \geq 2$ and $n, k \geq 0$ . T…

math.RA2025

Algebraic identities for linear operators on associative triple systems (long version)

Murray R. Bremner

We present the first classification of algebraic identities in 3 variables for linear operators on associative structures. We work in the context of associative triple systems, but…

math.RA2025

Operator identities of multiplicity 3 for associative algebras

Murray R. Bremner

We consider algebraic identities for linear operators on associative algebras in which each term has degree 2 (the number of variables) and multiplicity 3 (the number of occurrence…

A new generalization of the Narayana numbers inspired by linear operators on associative d-ary algebras

Algebraic identities for linear operators on associative triple systems (long version)

Operator identities of multiplicity 3 for associative algebras

A new generalization of the Narayana numbers inspired by linear operators on associative $d$ -ary algebras