Quasi-modular Pseudo-Complemented Semi-lattices
Sanaa El-Assar, Mikhail J. Atallah, E. Atef · Acta Mathematica Universitatis Comenianae · 2016
In this paper we dene and introduce a new class of pseudocomplemented semilattices ; the class of quasi-modular pseudocomplemented semilattices; which generalizes modular pseudocomplemented semilattices.We give a characterization and a construction of such class, using a triple containing a Boolean algebra, a semilattice with a greatest element and a structure map. We describe homomorphisms, subalgebras and congruence relations of the quasi-modular pseudo-complemented semi-lattices by means of triples.