V*-algebras, independence algebras and logic

Araújo, João; Edmundo, Mário Jorge; Givant, S.

http://hdl.handle.net/10400.2/2905

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Authors

Araújo, João

Edmundo, Mário Jorge

Givant, S.

Abstract(s)

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.

Keywords

Independence algebras Strongly minimal structures

URI

http://hdl.handle.net/10400.2/2905

Citation

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