On embedding countable sets of endomorphisms

Araújo, João; Mitchell, James D.; Silva, Nuno

http://hdl.handle.net/10400.2/3810

Use this identifier to reference this record.

Name:	Description:	Size:	Format:
2003OnEmbeding.pdf		371.11 KB	Adobe PDF	Download

Send Feedback

Authors

Araújo, João

Mitchell, James D.

Silva, Nuno

Abstract(s)

Sierpi´nski proved that every countable set of mappings on an infinite set X is contained in a 2-generated subsemigroup of the semigroup of all mappings on X. In this paper we prove that every countable set of endomorphisms of an algebra A which has an infinite basis (independent generating set) is contained in a 2-generated subsemigroup of the semigroup of all endomorphisms of A.

URI

http://hdl.handle.net/10400.2/3810

Citation

Araújo, João; Mitchell, James D.; Silva, Nuno - On embedding countable sets of endomorphisms. "Algebra Universalis" [Em linha]. ISSN 0002-5240 (Print) 1420-8911 (Online). Vol. 50 (2003), p. 1-6