Weak Distributive n-Semilattices and n-Lattices
Seon-Ju Lim · 2007
Abstract. We define weak distributive n-semilattices and n-lattices, using variants of the absorption law and those of the distributive law. From a weak distributive n-semilattice, we construct direct system of subalgebras which are weak distributive n-lattices and show that its direct limit is a reflection of the category wDn-SLatt of the weak distributive n-semilattices. 1.