Lectures on cylindric set algebras
J. Monk (1993)
Banach Center Publications
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J. Monk (1993)
Banach Center Publications
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Jerzy Białkowski (2004)
Open Mathematics
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Larose, Benoit (2005)
Beiträge zur Algebra und Geometrie
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Ivan Chajda, Miroslav Kolařík (2007)
Commentationes Mathematicae Universitatis Carolinae
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We investigate -directoids which are bounded and equipped by a unary operation which is an antitone involution. Hence, a new operation can be introduced via De Morgan laws. Basic properties of these algebras are established. On every such an algebra a ring-like structure can be derived whose axioms are similar to that of a generalized boolean quasiring. We introduce a concept of symmetrical difference and prove its basic properties. Finally, we study conditions of direct decomposability...
Chirkov, I.V., Shevelin, M.A. (2000)
Siberian Mathematical Journal
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D. Bredikhin (1993)
Banach Center Publications
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Richard Thompson (1993)
Banach Center Publications
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Koubek, V., Sichler, J. (2005)
Commentationes Mathematicae Universitatis Carolinae
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Saharon Shelah (2000)
Fundamenta Mathematicae
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The aim this paper is to present an answer to Problem 1 of Monk [10], [11]. We do this by proving in particular that if μ is a strong limit singular cardinal, and then there are Boolean algebras such that . Further we improve this result, deal with the method and the necessity of the assumptions. In particular we prove that if is a ccc Boolean algebra and then satisfies the λ-Knaster condition (using the “revised GCH theorem”).
Pinus, A.G. (2009)
Sibirskij Matematicheskij Zhurnal
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