PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 67(81), pp. 7--13 (2000)
Relative complements in the weak congruence lattice
Branimir \v Se\v selja and Andreja Tepav\v cevi\'cInstitut 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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