Šik, František A characterization of polarities whose lattice of polars is Boolean. (English) Zbl 0468.08001 Czech. Math. J. 31(106), 98-102 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 Documents MSC: 08A30 Subalgebras, congruence relations 03E20 Other classical set theory (including functions, relations, and set algebra) 06B10 Lattice ideals, congruence relations 06E99 Boolean algebras (Boolean rings) Keywords:polarity; symmetric binary relation; polars PDF BibTeX XML Cite \textit{F. Šik}, Czech. Math. J. 31(106), 98--102 (1981; Zbl 0468.08001) Full Text: EuDML OpenURL References: [1] G. Birkhoff: Lattice Theory. \(2^nd\) ed. (Russian translation) Moskva 1952. [2] A. S. Bondarev: O množestvach s disjunktnymi elementami. Izv. vysš. uc. zaved. Mat. No 9 (124) 1972, 10-16. [3] F. Šik: Die Anwendung der Polarität auf die direkten Produktzerlegungen einer Gruppe. Czechosl. Math. J. 5 (80) 1955, 61-75. · Zbl 0068.01502 [4] F. Šik: Zum Disjunktivitätsproblem auf geordneten Gruppen. Math. Nachrichten 25 (1963), 83-93. · Zbl 0107.02201 [5] F. Šik: K teorii sturkturno uporjadočennych grupp. Czechosl. Math. J. 6 (81) 1956, 1-25. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.