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Subjects
06-XX Order, lattices, ordered algebraic structures
06Dxx Distributive lattices
06D10 Complete distributivity

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Direct product decompositions of infinitely distributive lattices

Ján Jakubík (2000)

Mathematica Bohemica

Let $α$ be an infinite cardinal. Let $𝒯_{α}$ be the class of all lattices which are conditionally $α$ -complete and infinitely distributive. We denote by $𝒯_{σ}^{'}$ the class of all lattices $X$ such that $X$ is infinitely distributive, $σ$ -complete and has the least element. In this paper we deal with direct factors of lattices belonging to $𝒯_{α}$ . As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $𝒯_{σ}^{'}$ .

Distributive pairs in biatomic lattices.

Waphare, B.N., Joshi, V.V. (2004)

Acta Mathematica Universitatis Comenianae. New Series

Duality for CCD lattices.

Marmolejo, Francisco, Rosebrugh, Robert, Wood, R.J. (2009)

Theory and Applications of Categories [electronic only]

Currently displaying 1 – 3 of 3

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