Ideals and filters of pseudo-complemented semilattices
T. S. Blyth · Proceedings of the Edinburgh Mathematical Society · 1980
W. H. Cornish (2) has investigated congruences on pseudo-complemented distributive lattices and has identified those ideals (resp. filters) that are congruence kernels (resp. cokernels). In this paper we show that many of the principal results concerning congruence kernels and cokernels hold in a semilattice and therefore do not depend on distributivity, nor on the existence of unions.