v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC-Reference-Cited by-同舟云学术

v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC

Published:2011-11 Issue:07 Volume:21 Page:1237-1257
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

ARAÚJO JOÃO¹²,EDMUNDO MÁRIO¹³,GIVANT STEVEN⁴

Affiliation:

1. Universidade Aberta, R. Escola Politécnica, 147, 1269-001 Lisboa, Portugal

2. Centro de Álgebra da Universidade de Lisboa, Av. Gama Pinto, 2, 1649–003 Lisboa, Portugal

3. Centro de Matemática e Aplicações, Fundamentais da Universidade de Lisboa, Av. Gama Pinto, 2, 1649–003 Lisboa, Portugal

4. Mills College, 5000 MacArthur Blvd. Oakland, CA 94613, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196711006923

Reference68 articles.

1. NORMAL SEMIGROUPS OF ENDOMORPHISMS OF PROPER INDEPENDENCE ALGEBRAS ARE IDEMPOTENT GENERATED

2. Idempotent generated endomorphisms of an independence algebra

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