Geodesic
Direct product decompositions of infinitely distributive lattices
Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 341-354.

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Let $\alpha$ be an infinite cardinal. Let $\Cal T_\alpha$ be the class of all lattices which are conditionally $\alpha$-complete and infinitely distributive. We denote by $\Cal{T}_\sigma'$ the class of all lattices $X$ such that $X$ is infinitely distributive, $\sigma$-complete and has the least element. In this paper we deal with direct factors of lattices belonging to $\Cal T_\alpha$. As an application, we prove a result of Cantor-Bernstein type for lattices belonging to the class $\Cal T_\sigma'$.
DOI : 10.21136/MB.2000.126128
Classification : 06B23, 06B35, 06D10
Keywords: direct product decomposition; infinite distributivity; conditional $\alpha$-completeness 
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Jakubík, Ján. Direct product decompositions of infinitely distributive lattices. Mathematica Bohemica, Tome 125 (2000) no. 3, pp. 341-354. doi : 10.21136/MB.2000.126128. http://geodesic.mathdoc.fr/articles/10.21136/MB.2000.126128/

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