Weak Distributive n-Semilattices and n-Lattices
Seon-Ju Lim
Abstract
Seon-Ju Lim
Abstract
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.
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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.
Key concepts: Semilattice, Distributive property, Distributivity, Mathematics, Congruence lattice problem, Binary operation, Idempotence, Commutative property