Relative ranks in the monoid of endomorphisms of an independence algebra

Mitchell, James D.; Araújo, João

http://hdl.handle.net/10400.2/2019

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Authors

Mitchell, James D.

Araújo, João

Abstract(s)

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 auto- morphisms and the endomorphisms b satisfying b^2 = b. The extra generators are characterised in each case.

Keywords

Independence algebras Relative rank Endomorphisms

URI

http://hdl.handle.net/10400.2/2019

Citation

Mitchell, 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. 1-10