Generators for the Semigroup of Endomorphisms of an Independence Algebra

João Araüjo · Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT) · 2002

Given an independence algebra A of infinite rank, we denote the endomorphism monoid and the automorphism group of A by End(A)and Aut(A) respectively. This paper is concerned with finding minimal subsets R of End(A) such that Aut(A) [ E(End(A)) [ R is a generating set for End(A), where E(End(A)) denotes its set of idempotents.

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