Displaying similar documents to “Rational extensions of C(X) and semicontinuous functions”

On ideals of a skew lattice

João Pita Costa (2012)

Discussiones Mathematicae - General Algebra and Applications

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Ideals are one of the main topics of interest when it comes to the study of the order structure of an algebra. Due to their nice properties, ideals have an important role both in lattice theory and semigroup theory. Two natural concepts of ideal can be derived, respectively, from the two concepts of order that arise in the context of skew lattices. The correspondence between the ideals of a skew lattice, derived from the preorder, and the ideals of its respective lattice image is clear....

Balanced d-lattices are complemented

Martin Goldstern, Miroslav Ploščica (2002)

Discussiones Mathematicae - General Algebra and Applications

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We characterize d-lattices as those bounded lattices in which every maximal filter/ideal is prime, and we show that a d-lattice is complemented iff it is balanced iff all prime filters/ideals are maximal.