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 ...

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 ...

In this paper we study shellable posets (partially ordered sets), that is, finite posets such that the simplicial complex of chains is shellable. It is shown that all admissible lattices (including ...