Displaying similar documents to “On the Chinese remainder theorem of H. Draškovičová”

Ideals, congruences and annihilators on nearlattices

Ivan Chajda, Miroslav Kolařík (2007)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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By a nearlattice is meant a join-semilattice having the property that every principal filter is a lattice with respect to the semilattice order. We introduce the concept of (relative) annihilator of a nearlattice and characterize some properties like distributivity, modularity or 0 -distributivity of nearlattices by means of certain properties of annihilators.