ArticleOriginal scientific text
Title
Congruence lattices of free lattices in non-distributive varieties
Authors 1, 2, 3
Affiliations
- Mathematical Institute, Slovak Academy of Sciences, Grešákova 6, 04001 Košice, Slovakia
- Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00 Praha 8, Czech Republic
- Département de Mathématiques Université de Caen 14032 Caen Cedex, France
Keywords
diamond, congruence splitting lattice, Kuratowski's Theorem, Uniform Refinement Property, congruence lattice, pentagon
Bibliography
- G. M. Bergman, Von Neumann regular rings with tailor-made ideal lattices, unpublished notes, October 1986.
- G. Grätzer, General Lattice Theory, Pure and Appl. Math. 75, Academic Press, New York; Lehrbücher Monograph. Gebiete Exakt. Wiss. Math. Reihe 52, Birkhäuser, Basel, 1978.
- G. Grätzer and E. T. Schmidt, On congruence lattices of lattices, Acta Math. Acad. Sci. Hungar. 13 (1962), 179-185.
- G. Grätzer and E. T. Schmidt, Congruence-preserving extensions of finite lattices to sectionally complemented lattices, Proc. Amer. Math. Soc., to appear.
- K. Kuratowski, Sur une caractérisation des alephs, Fund. Math. 38 (1951), 14-17.
- E. T. Schmidt, Zur Charakterisierung der Kongruenzverbände der Verbände, Mat. Časopis Sloven. Akad. Vied 18 (1968), 3-20.
- M. Tischendorf, On the representation of distributive semilattices, Algebra Universalis 31 (1994), 446-455.
- F. Wehrung, Non-measurability properties of interpolation vector spaces, Israel J. Math., to appear.
- F. Wehrung, A uniform refinement property of certain congruence lattices, Proc. Amer. Math. Soc., to appear.