1. Direct product decompositions of infinitely distributive lattices
- Creator:
- Jakubík, Ján
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- direct product decomposition, infinite distributivity, and conditional α-completeness
- Language:
- English
- Description:
- Let α be an infinite cardinal. Let Tα be the class of all lattices which are conditionally α-complete and infinitely distributive. We denote by T'α the class of all lattices X such that X is infinitely distributive, α-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'α.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public