EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 67(81), pp. 7--13 (2000)

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Relative complements in the weak congruence lattice

Branimir \v Se\v selja and Andreja Tepav\v cevi\'c

Institut za matematiku, Novi Sad, Yugoslavia

Abstract: Necessary and sufficient conditions under which a weak congruence lattice of an algebra is relatively complemented are given. Consequences concerning other kinds of complementedness are also presented. Finally, we investigate which of the main algebraic constructions preserve the relative complements in the weak congruence lattice.

Classification (MSC2000): 08A30; 06C15

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Electronic fulltext finalized on: 21 Dec 2000. This page was last modified: 16 Nov 2001.

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