Keywords : division rings
On Rings Whose Principal Ideals are Pure
AL-Rafidain Journal of Computer Sciences and Mathematics,
2006, Volume 3, Issue 2, Pages 53-57
DOI:
10.33899/csmj.2006.164051
In this work, we study rings whose every principal ideal is a right pure. We give some properties of right PIP – rings and the connection between such rings and division rings.
On Generalized Simple P-injective Rings
AL-Rafidain Journal of Computer Sciences and Mathematics,
2005, Volume 2, Issue 1, Pages 21-26
DOI:
10.33899/csmj.2005.164064
In this work, we study generalized simple P-injective rings. New properties of such rings are given, and a characterization of division rings and strongly regular rings in terms of GSP rings is obtained.