Normal semigroups of endomorphisms of proper independence algebras are idempotent generated
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.
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| Format: | article |
| Language: | eng |
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2015
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| Online Access: | http://hdl.handle.net/10400.2/3797 |
| Country: | Portugal |
| Oai: | oai:repositorioaberto.uab.pt:10400.2/3797 |
| Summary: | 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. |
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