Mikusiński functional equation on a hexagon.
Lajkó, Károly (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Lajkó, Károly (2001)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Riedel, T., Sablik, Maciej (2000)
International Journal of Mathematics and Mathematical Sciences
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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”).
Joji Takahashi (1998)
Colloquium Mathematicae
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Grzegorz Bancerek (2013)
Formalized Mathematics
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We analyse three algorithms: exponentiation by squaring, calculation of maximum, and sorting by exchanging in terms of program algebra over an algebra.
S. Ng (1991)
Fundamenta Mathematicae
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Kelley's Theorem is a purely combinatorial characterization of measure algebras. We first apply linear programming to exhibit the duality between measures and this characterization for finite algebras. Then we give a new proof of the Theorem using methods from nonstandard analysis.
Gonda, J. (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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A. Morawiec, B. Węglorz (1993)
Colloquium Mathematicae
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It is well known that if a nontrivial ideal ℑ on κ is normal, its quotient Boolean algebra P(κ)/ℑ is -complete. It is also known that such completeness of the quotient does not characterize normality, since P(κ)/ℑ turns out to be -complete whenever ℑ is prenormal, i.e. whenever there exists a minimal ℑ-measurable function in . Recently, it has been established by Zrotowski (see [Z1], [CWZ] and [Z2]) that for non-Mahlo κ, not only is the above condition sufficient but also necessary...
Antonio Aizpuru (1996)
Colloquium Mathematicae
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We study local interpolation properties and local supremum properties for a Boolean algebra. In particular, we present a new condition that is sufficient for the Nikodym property.
Elqorachi, Elhoucien, Akkouchi, Mohamed (2003)
Georgian Mathematical Journal
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