In this paper all subdirectly irreducible pseudocomplemented distributive lattices are found. This result is used to establish a Stone-like representation theorem conjectured by G. Grätzer and to find ...

Any distributive lattice admits a semiring structure in a natural way and this particular semiring satisfies some new distributive properties. The purpose of this note is to study whether a semiring ...

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 ...