Measures in Boolean algebras

作者: Alfred Horn , Alfred Tarski

DOI: 10.1090/S0002-9947-1948-0028922-8

关键词: Discrete mathematicsMathematicsComplete Boolean algebraInterior algebraBoolean algebraBoolean expressionAlgebraParity functionTwo-element Boolean algebraFree Boolean algebraStone's representation theorem for Boolean algebras

摘要:

参考文章(15)
Wacław Sierpiński, Sur une suite transfinie d'ensembles de nombres naturels Fundamenta Mathematicae. ,vol. 33, pp. 9- 11 ,(1945) , 10.4064/FM-33-1-9-11
Andrzej Mostowski, Alfred Tarski, Boolesche Ringe mit geordneter Basis Fundamenta Mathematicae. ,vol. 32, pp. 69- 86 ,(1939) , 10.4064/FM-32-1-69-86
M. H. Stone, Algebraic characterizations of special Boolean rings Fundamenta Mathematicae. ,vol. 29, pp. 223- 303 ,(1937)
Alfred Tarski, Algebraische Fassung des Maßproblems Fundamenta Mathematicae. ,vol. 31, pp. 207- 223 ,(1938) , 10.4064/FM-31-1-207-223
Edward Szpilrajn-Marczewski, Sur deux propriétés des classes d'ensembles Fundamenta Mathematicae. ,vol. 33, pp. 303- 307 ,(1945) , 10.4064/FM-33-1-303-307
Stanisław Ulam, Zur Masstheorie in der allgemeinen Mengenlehre Fundamenta Mathematicae. ,vol. 16, pp. 140- 150 ,(1930) , 10.4064/FM-16-1-140-150
Lester S. Hill, Waclaw Sierpinski, Leçons sur les nombres transfinis American Mathematical Monthly. ,vol. 37, pp. 504- ,(1930) , 10.2307/2298246
M. H. Stone, The theory of representations for Boolean algebras Transactions of the American Mathematical Society. ,vol. 40, pp. 37- 111 ,(1936) , 10.1090/S0002-9947-1936-1501865-8
Malcolm Smiley, An extension of metric distributive lattices with an application in general analysis Transactions of the American Mathematical Society. ,vol. 56, pp. 435- 447 ,(1944) , 10.1090/S0002-9947-1944-0011531-0
M. H. Stone, The Theory of Representation for Boolean Algebras Transactions of the American Mathematical Society. ,vol. 40, pp. 37- ,(1936) , 10.2307/1989664