Relative ranks in the monoid of endomorphisms of an independence algebra

Mitchell, James D.Araújo, João2011-12-272011-12-272007Mitchell, James D.; Araújo, João - Relative ranks in the monoid of endomorphisms of an independence algebra. "Monatshefte fur Mathematik" [Em linha]. ISSN 0026-9255. Vol. 151, nº 1 (2007), p. 1-100026-9255http://hdl.handle.net/10400.2/2019The 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 auto- morphisms and the endomorphisms b satisfying b^2 = b. The extra generators are characterised in each case.engIndependence algebrasRelative rankEndomorphismsRelative ranks in the monoid of endomorphisms of an independence algebrajournal article