Some properties of strongly normal lattices
Al-Ezeh, H. (1992)
Portugaliae mathematica
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Al-Ezeh, H. (1992)
Portugaliae mathematica
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Yurij Aleksandrovich Abramovich, Zbigniew Lipecki (1990)
Commentationes Mathematicae Universitatis Carolinae
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Ladislav Beran (1995)
Collectanea Mathematica
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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...