The Mathematical Gazette is the original journal of the Mathematical Association and it is now over a century old. Its readership is a mixture of school teachers, college and university lecturers, ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Let S be a regular semigroup and let ρ be a congruence relation on S. The kernel of ρ, in notation $\ker \rho$, is the union of the idempotent ρ-classes. The trace of ρ, in notation tr ρ, is the ...