The Direct Decomposition of l-algebras into Products of Subdirectly Irreducible Factors
Sändor Radeleczki · Journal of the Australian Mathematical Society · 2003
Abstract Generalizing earlier results of Katriňák, El-Assar and the present author we prove new structure theorems for l-algebras. We obtain necessary and sufficient conditions for the decomposition of an arbitrary bounded lattice into a direct product of (finitely) subdirectly irreducible lattices.