Data: |
2014 |
Resum: |
Let R be an associative unital ring with the unit group U(R). Let S denote one of the following sets: the set of elements of R, of left ideals of R, of principal left ideals of R, or of ideals of R. Then the group U(R) X U(R) acts on the set S by left and right multiplication. In this note we are going to discuss some properties of rings R with a finite number of orbits under the action of U(R) X U(R) on S. |
Drets: |
Tots els drets reservats. |
Llengua: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Publicat a: |
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 233-249, ISSN 2014-4350 |