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On a representation of lattices

✍ Scribed by I. Kříz̃; A. Pultr


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
441 KB
Volume
68
Category
Article
ISSN
0022-4049

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📜 SIMILAR VOLUMES


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✍ Ronny Rousseau 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 529 KB

A partial ordering is defined for monotone projections on a lattice, such that the set of these mappings is a lattice which is isomorphic to a sublattice of the partition lattice.

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✍ Jan Hamhalter 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 231 KB

## Abstract We give a lattice‐theoretic characterization of the lattices of Mackey closed subspaces in a vector space __V__ (dim __V__ ≧ 4): These are exactly complete finitely‐modular AC‐lattices of the length at least four which have mutually perspective atoms.