v*-ALGEBRAS, INDEPENDENCE ALGEBRAS AND LOGIC

被引：10
作者：
Araujo, Joao [1 ,2 ]
Edmundo, Mario [1 ,3 ]
Givant, Steven [4 ]
机构：
[1] Univ Aberta, P-1269001 Lisbon, Portugal
[2] Univ Lisbon, Ctr Algebra, P-1649003 Lisbon, Portugal
[3] Univ Lisbon, Ctr Matemat & Aplicacoes Fundamentais, P-1649003 Lisbon, Portugal
[4] Mills Coll, Oakland, CA 94613 USA
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2011年 / 21卷 / 07期
关键词：
Independence algebras; v*-algebras; transformation semigroups; theories categorical in power; representation theorems for classes of models; strongly minimal structures; RELATIVELY FREE ALGEBRAS; NON-ELEMENTARY CLASSES; IDEMPOTENT ENDOMORPHISMS; REPRESENTATION THEOREM; UNIVERSAL CLASSES; CLASSIFICATION-THEORY; UNCOUNTABLE MODELS; PRODUCTS; SEMIGROUPS; GENERATORS;
D O I：
10.1142/S0218196711006923
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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收藏
页码：1237 / 1257
页数：21
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