2002Kyungpook mathematical journalRequires access

Semilattices with an Involution

Ivan Chajda

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Abstract

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 ortho-complementation.

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What this paper is about

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 ortho-complementation.

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Available abstract

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 ortho-complementation.

Key concepts: Unary operation, Semilattice, Mathematics, Involution (esoterism), Lattice (music), Simple (philosophy), Discrete mathematics, Combinatorics

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