Normal semigroups of endomorphisms of proper independence algebras are idempotent generated

Araújo, João

http://hdl.handle.net/10400.2/3797

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Authors

Araújo, João

Abstract(s)

Let A be a proper independence algebra of finite rank, let G be the group of automorphisms of A, let a be a singular endomorphism and let aG be the semigroup generated by all the elements g°1ag, where g 2 G. The aim of this paper is to prove that aG is a semigroup generated by its own idempotents.

Keywords

Independence algebras Normal semigroups Endomorphisms

URI

http://hdl.handle.net/10400.2/3797

Citation

Araújo, João - Normal semigroups of endomorphisms of proper independence algebras are idempotent generated. "Proceedings of the Edinburgh Mathematical Society" [Em linha]. ISSN 0013-0915 (Print) 1464-3839 (Online). S. 2, vol. 45, nº 1 (2002), p. 1-16