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V*-algebras, independence algebras and logic

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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.

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Independence algebras Strongly minimal structures

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Citação

Araújo, João, Edmundo, Mário Jorge; Givant, S. - V*-algebras, independence algebras and logic. "International Journal of Algebra and Computation" [Em linha]. ISSN 0218-1967. Vol. 21, nº 7 (2011), p. 1-18

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