Murray R. Bremner

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math.CO2026

Enumerating Multi-Operator Monomials in Commutative and Noncommutative Settings

Yu Hin Au, Murray R. Bremner

We study enumeration problems for multi-operator monomials generated from one indeterminate by an associative multiplication together with finitely many unary operators. We conside…

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…

Enumerating Multi-Operator Monomials in Commutative and Noncommutative Settings

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

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