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Displaying similar documents to “Directly indecomposable direct factors of a lattice”

Sequential convergences in a vector lattice

Ján Jakubík (1998)

Mathematica Bohemica

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In the present paper we deal with sequential convergences on a vector lattice L which are compatible with the structure of L .

Modularity and distributivity of the lattice of Σ -closed subsets of an algebraic structure

Ivan Chajda, Petr Emanovský (1995)

Mathematica Bohemica

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Let 𝒜 = ( A , F , R ) be an algebraic structure of type τ and Σ a set of open formulas of the first order language L ( τ ) . The set C Σ ( 𝒜 ) of all subsets of A closed under Σ forms the so called lattice of Σ -closed subsets of 𝒜 . We prove various sufficient conditions under which the lattice C Σ ( 𝒜 ) is modular or distributive.

Asymptotic properties of solutions of second order quasilinear functional differential equations of neutral type

Takaŝi Kusano, Pavol Marušiak (2000)

Mathematica Bohemica

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This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as t .