This is a preview. Log in through your library . Abstract A group G end its global semigroup Glb G is considered. Every congruence relation in the group G induces a congruence relation in the ...

This paper studies conditions under which every congruence relation θ in a direct product A × B of algebras is of the form θ1 × θ2, where θ1 and θ2 are congruence relations in A and B respectively. It ...

Associated to a modular form f is a two-dimensional Galois representation whose Frobenius eigenvalues can be expressed in terms of the Fourier coefficients of f, using a formula known as the ...

Lattice theory provides a robust framework for analysing ordered structures across various fields of mathematics. In its most general form, a lattice comprises a set equipped with two binary ...

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 ...