Six problems of Gian-Carlo Rota in lattice theory and universal algebra
type: Item
instance of: scholarly article
title: Six problems of Gian-Carlo Rota in lattice theory and universal algebra
zbMATH Open document ID: 1113.06300
author: Joseph P. S. Kung
author: Catherine Yan
published in: Algebra Universalis
publication date: 2007-06-11T00:00:00Z
review text: The authors list the most profound mathematical problems investigated by G.-C.\, Rota: 1. Linear lattices (algebraic characterization, free linear lattices, connections to projective geometry, a connection to information theory, Ferrers relations); 2. Lattices and the foundations of probability theory (algebraic and stochastic independence, lattice of commuting \(\sigma \)-subalgebras); 3. Continuous geometries (quantum probability, profinite combinatorics); 4. Expansion of set functions; 5. The generator field of Boolean algebra; 6. Straightening coefficients and Rota's basic conjecture. The list of references includes 37 items of the most significant sources.
Mathematics Subject Classification ID: 06-02
Mathematics Subject Classification ID: 08-02
zbMATH DE Number: 5163337
reviewed by: Ivan Chajda
MaRDI profile type: Publication
full work available at URL: s00012-003-1810-8
OpenAlex ID: W2068081722
DOI: 10.1007/S00012-003-1810-8
description: scientific article; zbMATH DE number 5163337