Regular and normal quantales
Jan Paseka (1986)
Archivum Mathematicum
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Displaying similar documents to “A note on the prime ideal theorem”
Regular and normal quantales
Relative annihilator-preserving congruence relations and relative annihilator-preserving homomorphisms in bounded distributive semilattices
Sergio A. Celani (2015)
Open Mathematics
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In this paper we shall study a notion of relative annihilator-preserving congruence relation and relative annihilator-preserving homomorphism in the class of bounded distributive semilattices. We shall give a topological characterization of this class of semilattice homomorphisms. We shall prove that the semilattice congruences that are associated with filters are exactly the relative annihilator-preserving congruence relations.
Some remarks on certain classes of semilattices.
Murty, P.V.Ramana, Murty, M.Krishna (1982)
International Journal of Mathematics and Mathematical Sciences
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Characterizations of the -distributive semilattice
P. Balasubramani (2003)
Mathematica Bohemica
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The -distributive semilattice is characterized in terms of semiideals, ideals and filters. Some sufficient conditions and some necessary conditions for -distributivity are obtained. Counterexamples are given to prove that certain conditions are not necessary and certain conditions are not sufficient.
Flat semilattices
George Grätzer, Friedrich Wehrung (1999)
Colloquium Mathematicae
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