A characterization of adequate semigroups by forbidden subsemigroups

Araújo, João; Kinyon, Michael; Malheiro, António

http://hdl.handle.net/10400.2/3803

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Authors

Araújo, João

Kinyon, Michael

Malheiro, António

Abstract(s)

A semigroup is \emph{amiable} if there is exactly one idempotent in each R∗-class and in each L∗-class. A semigroup is \emph{adequate} if it is amiable and if its idempotents commute. We characterize adequate semigroups by showing that they are precisely those amiable semigroups which do not contain isomorphic copies of two particular nonadequate semigroups as subsemigroups.

URI

http://hdl.handle.net/10400.2/3803

Citation

Araújo, João; Kinyon, Michael, Malheiro, António - A characterization of adequate semigroups by forbidden subsemigroups. "Proceedings of the Royal Society of Edinburgh" [Em linha]. ISSN 0370-1646. Vol. 143, nº 6 (2013), p. 1-7