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V*-algebras, independence algebras and logic

By João Araújo, Mário Jorge Edmundo and S. Givant

Abstract

Independence algebras were introduced in the early 1990s by specialists in semigroup theory, as a tool to explain similarities between the transformation monoid on a set and the endomorphism monoid of a vector space. It turned out that these algebras had already been defined and studied in the 1960s, under the name of v*-algebras, by specialists in universal algebra (and statistics). Our goal is to complete this picture by discussing how, during the middle period, independence algebras began to play a very important role in logic

Topics: Independence algebras, Strongly minimal structures
Publisher: 'World Scientific Pub Co Pte Lt'
Year: 2011
DOI identifier: 10.1142/S0218196711006923
OAI identifier: oai:repositorioaberto.uab.pt:10400.2/2905
Journal:

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