PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.) Vol. 67(81), pp. 713 (2000) 

Relative complements in the weak congruence latticeBranimir \v Se\v selja and Andreja Tepav\v cevi\'cInstitut za matematiku, Novi Sad, YugoslaviaAbstract: 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 Full text of the article:
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© 2000 Mathematical Institute of the Serbian Academy of Science and Arts
