Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 51, No. 4, pp. 583-585 (1994)

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On Atomistic Lattices

Andrzej Walendziak

Department of Mathematics, Agricultural and Pedagogical University,
PL-08110 Siedlce - POLAND

Abstract: Any atomistic lattice is strong whereas the converse does not hold, in general. In the present paper we prove that, if in a strong atomic J-lattice, each atom has a complement, then the lattice is atomistic. This result generalizes the theorem of [2].

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