On a characterization of the lattice of all ideals of a Boolean ring
Leopoldo Nachbin (1949)
Fundamenta Mathematicae
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Leopoldo Nachbin (1949)
Fundamenta Mathematicae
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H. Al-Ezeh (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Jaromír Duda (1990)
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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.
Yurij Aleksandrovich Abramovich, Zbigniew Lipecki (1990)
Commentationes Mathematicae Universitatis Carolinae
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Ladislav Beran (1995)
Collectanea Mathematica
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