Stone spaces of more partially ordered sets
David Elias (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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David Elias (1999)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Georges Chevalier (1988)
Commentationes Mathematicae Universitatis Carolinae
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Marshall Harvey Stone (1938)
Časopis pro pěstování matematiky a fysiky
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Iqbalunnisa (1965)
Fundamenta Mathematicae
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Ladislav Beran (1994)
Commentationes Mathematicae Universitatis Carolinae
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The author studies some characteristic properties of semiprime ideals. The semiprimeness is also used to characterize distributive and modular lattices. Prime ideals are described as the meet-irreducible semiprime ideals. In relatively complemented lattices they are characterized as the maximal semiprime ideals. -radicals of ideals are introduced and investigated. In particular, the prime radicals are determined by means of -radicals. In addition, a necessary and sufficient condition...