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Displaying 101 – 120 of 191

Mixed Levels of Indestructibility

Arthur W. Apter (2015)

Bulletin of the Polish Academy of Sciences. Mathematics

Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the least strongly compact and least supercompact cardinal and κ exhibits mixed levels of indestructibility. Specifically, κ 's strong compactness, but not its supercompactness, is indestructible under any κ -directed closed forcing which also adds a Cohen subset of κ. On the other hand, in this model, κ 's supercompactness is indestructible under any κ -directed closed forcing which does not add a Cohen subset...

Mixed pseudo-associativities of Bandler-Kohout compositions of relations

Jolanta Sobera (2007)

Kybernetika

This paper considers compositions of relations based on the notion of the afterset and the foreset, i. e., the subproduct, the superproduct and the square product introduced by Bandler and Kohout with modification proposed by De Baets and Kerre. There are proven all possible mixed pseudo-associativity properties of Bandler – Kohout compositions of relations.

Mixing actions of groups with the Haagerup approximation property

Greg Hjorth (2009)

Fundamenta Mathematicae

A countable group Γ has the Haagerup approximation property if and only if the mixing actions are dense in the space of all actions of Γ.

m-normal theories

Ludomir Newelski (2001)

Fundamenta Mathematicae

Originally, m-independence, ℳ -rank, m-stability and m-normality were defined only for small stable theories. Here we extend the definitions to an arbitrary small countable complete theory. Then we investigate these notions in the new, broader context. As a consequence we show that any superstable theory with $< 2^{ℵ ₀}$ countable models is m-normal. In particular, any *-algebraic group interpretable in such a theory is abelian-by-finite.

Möbius fitting aggregation operators

Anna Kolesárová (2002)

Kybernetika

Standard Möbius transform evaluation formula for the Choquet integral is associated with the $𝐦𝐢𝐧$ -aggregation. However, several other aggregation operators replacing $𝐦𝐢𝐧$ operator can be applied, which leads to a new construction method for aggregation operators. All binary operators applicable in this approach are characterized by the 1-Lipschitz property. Among ternary aggregation operators all 3-copulas are shown to be fitting and moreover, all fitting weighted means are characterized. This new method...

Modal operators on ordered sets

Jiří Rachůnek (1985)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Modal operators on symmetrical Heyting algebras

Luisa Iturrioz (1982)

Banach Center Publications

Modal Pseudocomplemented De Morgan Algebras

Aldo V. Figallo, Nora Oliva, Alicia Ziliani (2014)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

Modal pseudocomplemented De Morgan algebras (or $m p M$ -algebras for short) are investigated in this paper. This new equational class of algebras was introduced by A. V. Figallo and P. Landini ([Figallo, A. V., Landini, P.: Notes on $4$ -valued modal algebras Preprints del Instituto de Ciencias Básicas, Univ. Nac. de San Juan 1 (1990), 28–37.]) and they constitute a proper subvariety of the variety of all pseudocomplemented De Morgan algebras satisfying $x \land {(\sim x)}^{*} = {(\sim (x \land {(\sim x)}^{*}))}^{*}$ . Firstly, a topological duality for these algebras...