The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms α satisfying α2 = α. The extra generators are characterised in each case.
Higgins, PM, Howie, JM, Ruškuc, N 1998Generators and factorisations of transformation semigroupsProc Roy Soc Edinburgh, Sect A12813551369MathSciNetGoogle Scholar
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