The Ideal Retraction Property for Idempotent Semigroups
| Autor: | Matthew Gould, M. E. Adams |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebra and Number Theory Property (philosophy) Endomorphism Ideal (set theory) Mathematics::Commutative Algebra Mathematics::Operator Algebras Semigroup Image (category theory) Mathematics::Rings and Algebras Mathematics::General Topology Characterization (mathematics) Idempotence Algebra over a field Mathematics |
| Zdroj: | Semigroup Forum. 74:149-154 |
| ISSN: | 1432-2137 0037-1912 |
| DOI: | 10.1007/s00233-006-0664-8 |
| Popis: | A semigroup S is said to have the ideal retraction property provided each of its ideals is the image of an idempotent endomorphism of S. The main result of this work is a characterization of those bands which have the idempotent retraction property. All such bands are normal. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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