Abstract
Let Π be a ring property. An additive group G is said tobe an (associative) strongly II-group if G is not nil, and if every(associative) ring R with additive group G such that R is not azeroring has property II. The (associative) strongly principalideal groups, and the (associative) strongly Noetherian groupsare classified for groupswhich are not torsion free. Someresults are also obtained for the torsion free case.
| Original language | English |
|---|---|
| Pages (from-to) | 87-92 |
| Number of pages | 6 |
| Journal | Pacific Journal of Mathematics |
| Volume | 75 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1978 |