Relative Ranks in the Monoid of Endomorphisms of an Independence Algebra

• Autores: Jesús Araujo Gómez , J. D. Mitchell
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 151, Nº 1, 2007, págs. 1-10
• Idioma: inglés
• DOI: 10.1007/s00605-006-0433-5
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• Resumen

  • 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 a satisfying a2 = a. The extra generators are characterised in each case.