A unique atom in \([C(E),C_\alpha(E)]\) (Q2721560)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A unique atom in \([C(E),C_\alpha(E)]\) |
scientific article; zbMATH DE number 1613186
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unique atom in \([C(E),C_\alpha(E)]\) |
scientific article; zbMATH DE number 1613186 |
Statements
10 June 2002
0 references
atoms
0 references
congruence lattices
0 references
full transformation semigroups
0 references
A unique atom in \([C(E),C_\alpha(E)]\) (English)
0 references
For a given set \(X\) and a given non-trivial equivalence \(E\) on \(X\), a congruence \(C_*(E)\) on the full transformation semigroup \(T_E(X)\) is obtained. It is shown that \(C_*(E)\) is a unique atom in the complete sublattice \([C(E),C_\alpha(E)]\) of the congruence lattice of \(T_E(X)\).
0 references
