Неразрешимость позитивной -теории свободной полугруппы.
В.Г. Дурнев (1995)
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В.Г. Дурнев (1995)
Sibirskij matematiceskij zurnal
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Shinya Fujita (2005)
Discussiones Mathematicae Graph Theory
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Let G be a graph with |V(G)| ≥ 10. We prove that if both G and G̅ are claw-free, then minΔ(G), Δ(G̅) ≤ 2. As a generalization of this result in the case where |V(G)| is sufficiently large, we also prove that if both G and G̅ are -free, then minΔ(G),Δ(G̅) ≤ r(t- 1,t)-1 where r(t-1,t) is the Ramsey number.
Melanie Hinz, Wojciech Młotkowski (2010)
Colloquium Mathematicae
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We compute the moments and free cumulants of the measure , where denotes the free Poisson law with parameter t > 0. We also compute free cumulants of the symmetrization of . Finally, we introduce the free symmetrization of a probability measure on ℝ and provide some examples.
А.И. Черемисин (1968)
Sibirskij matematiceskij zurnal
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И.Б. Воличенко (1984)
Sibirskij matematiceskij zurnal
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Daniel Herden, Héctor Gabriel Salazar Pedroza (2015)
Fundamenta Mathematicae
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We will consider unital rings A with free additive group, and want to construct (in ZFC) for each natural number k a family of -free A-modules G which are separable as abelian groups with special decompositions. Recall that an A-module G is -free if every subset of size is contained in a free submodule (we will refine this in Definition 3.2); and it is separable as an abelian group if any finite subset of G is contained in a free direct summand of G. Despite the fact that such a...
Б.М. Веретенников (1998)
Sibirskij matematiceskij zurnal
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Ю.Л. Ершов, Ju. L. Eršov, Ǔ. L. Eršov, Ju. L. Eršov (1996)
Algebra i Logika
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А.И. Созутов (1998)
Sibirskij matematiceskij zurnal
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Я.В. Хион (1967)
Sibirskij matematiceskij zurnal
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Kamil Szpojankowski (2015)
Studia Mathematica
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The Lukacs property of the free Poisson distribution is studied. We prove that if free and are free Poisson distributed with suitable parameters, then + and are free. As an auxiliary result we compute the joint cumulants of and for free Poisson distributed . We also study the Lukacs property of the free Gamma distribution.
А.И. Черемисин (1973)
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В.А. Романьков (1993)
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М.Ш. Браверман (1991)
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В.И. Зенков (1996)
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В.А. Чатырко (1990)
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А.А. Толстоногов (1999)
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Л.С. Маергойз (1987)
Sibirskij matematiceskij zurnal
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