Original Article
Kyungpook Mathematical Journal 2002; 42(1): 21-23
Published online June 23, 2002
Copyright © Kyungpook Mathematical Journal.
Semilattices with an Involution
Ivan Chajda
Department of Algebra and Geometry, Palack´y University Olomouc, Tomkova 40, 779 00 Olomouc, Czech Republic.
Semilattices with a unary operation are treated. We set a simple condition such that every semilattice with a unary operation satisfying it is a lattice. If one more simple condition is satisfied, this lattice is an ortholattice where the unary operation is a orthocomplementation.
Keywords: semilattice, lattice, ortholattice, involution