Products of ideals of Borel sets
Ramsey-type theorems
Iterated products of ideals of Borel sets
Independent complete subalgebras of collapsing algebras
Local properties of complete Boolean products
Dimensions of Distributive Lattices
Linear Congruences in Distributive Lattices
The Dimension of the Set of All Finite Subsets of the Continuum
Partial order with duality and consistent choice problem
Problems
On the Novák completion of convergence groups
Remarks to a modification of Ramsey-type theorems
Atoms and Generators in Boolean -Algebras
Eigenspace of a circulant max–min matrix
The eigenproblem of a circulant matrix in max-min algebra is investigated. Complete characterization of the eigenspace structure of a circulant matrix is given by describing all possible types of eigenvectors in detail.
Monotone interval eigenproblem in max–min algebra
The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.
Solving systems of two–sided (max, min)–linear equations
A finite iteration method for solving systems of (max, min)-linear equations is presented. The systems have variables on both sides of the equations. The algorithm has polynomial complexity and may be extended to wider classes of equations with a similar structure.
О ширине категории моноунарных алгебр
Eigenspace of a three-dimensional max-Łukasiewicz fuzzy matrix
Eigenvectors of a fuzzy matrix correspond to stable states of a complex discrete-events system, characterized by a given transition matrix and fuzzy state vectors. Description of the eigenspace (set of all eigenvectors) for matrices in max-min or max-drast fuzzy algebra was presented in previous papers. In this paper the eigenspace of a three-dimensional fuzzy matrix in max-Łukasiewicz algebra is investigated. Necessary and sufficient conditions are shown under which the eigenspace restricted to...
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