Beran, Ladislav Some types of implicative ideals. (English) Zbl 0938.06004 Commentat. Math. Univ. Carol. 39, No. 2, 219-225 (1998). The paper studies basic properties for five special types of implicative ideals (modular, pentagonal, even, rectangular and medial) – these five classes play an interesting role in the theory of Boolean algebras. In particular, the author concentrates on a complete description of all possible inclusion relations between the corresponding classes. He also exhibits examples showing that the considered concepts define different classes. As a by-product he obtains new characterizations of modularity and distributivity. Reviewer: Robert Babilon (Praha) MSC: 06B10 Lattice ideals, congruence relations Keywords:implicative ideals; modular ideals; pentagonal ideals; even ideals; rectangular ideals; medial ideals; modularity; distributivity PDFBibTeX XMLCite \textit{L. Beran}, Commentat. Math. Univ. Carol. 39, No. 2, 219--225 (1998; Zbl 0938.06004) Full Text: EuDML