This is a preview of subscription content, log in via an institution to check access.
References
R. Balbes, Projective and injective distributive lattices. Pacific J. Math.21, 405–420 (1967).
G.Birkhoff, Lattice Theory. Third ed., Providence 1967.
H.Crapo and G.-C.Rota, Combinatorial Geometries. Cambridge (Mass.) 1970.
R. L. Davis, Order Algebras. Bull. Amer. Math. Soc.76, 83–87 (1970).
J. Folkman, The homology groups of a lattice. J. Math. Mech.15, 631–636 (1966).
L. Geissinger andW. Graves, The category of complete algebraic lattices. J. Combinatorial Theory (A)13, 332–338 (1972).
G.Grätzer, Lattice Theory. San Francisco 1971.
C.Greene, On the Möbius Algebra of a Partially Ordered Set. Proc. Conf. on Möbius Algebras, University of Waterloo 1971.
P. R.Halmos, Measure Theory. Princeton 1950.
P.Hilton and S.Wylie, Homology Theory. Cambridge 1960.
V. Klee, The Euler characteristic in combinatorial geometry. Amer. Math. Monthly70, 119–127 (1963).
A. Horn andA. Tarski, Measures in Boolean algebras. Trans. Amer. Math. Soc.64, 467–497 (1948).
R. Larson andM. Sweedler, An associative orthogonal bilinear form for Hopf algebras. Amer. J. Math.91, 75–94 (1969).
H. M. MacNeille, Partially ordered sets. Trans. Amer. Math. Soc.42, 416–460 (1937).
B. Pettis, Remarks on the extension of lattice functionals. Bull. Amer. Math. Soc.54, 471 (1948).
B. Pettis, On the extension of measures. Ann. of Math.54, 186–197 (1951).
H.Rasiowa and R.Sikorski, The Mathematics of Metamathematics. Warsaw 1963.
G.-C. Rota, On the foundations of combinatorial theory. I. Z. Wahrscheinlichkeitstheorie Verve. Gebiete2, 340–368 (1964).
G.-C.Rota, On the combinatorics of the Euler characteristic. In: Studies in Pure Mathemathics, pp. 221–233. London 1971.
L. Solomon, The Burnside algebra of a finite group. J. Combinatorial Theory2, 603–615 (1967).
E.Spanier, Algebraic Topology. New York 1966.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Geissinger, L. Valuations on distributive lattices I. Arch. Math 24, 230–239 (1973). https://doi.org/10.1007/BF01228204
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01228204