The notion of equivalence has been playing a fundamental role through the History of Mathematics. Equivalence relations are so ubiquitous in everyday life that we often forget about their proactive existence. By 1994, in a conference held Pontignano, Rota regarded the studdy of linear lattices, made of commutable equivalence relations.
This dissertation is about the algebraic and order properties of equivalence relation latticas and, specially, the algebraic studdy of different operations definable in these lattices.
Key Words: partition lattices, commutable equivalences, independent partitions, classification of pairs of equivalences of finite type, star operation, n-trusting organizations.
URL: http://videolectures.net/joao_pita_costa/
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[pdf] Bibliography
Teoria dos Reticulados Lineares, CAUL, University of Lisbon, 31 Março 2006, Lisbon [Abstract]
An introduction to the Theory of Linear Lattices Faculty of Mathematics of the University of Ljubljana, 12 Abril 2006, Ljubljana [Abstract]
Some Operations on the Lattice of Equivalence Relations [Solomon Video Lectures], iInstitute Joseph Stephan, 26 Set 2006, Ljubljana [Abstract]
Algumas Operações no Reticulado das Equivalências, CAUL, University of Lisbon, 20 Out 2006, Lisbon [Abstract]