International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 465-473

Generation of proper classes of short exact sequences

Ali Pancar

Department of Mathematics, Karadeniz Tech. University, Trabzon 61080, Turkey

Received 18 September 1995; Revised 10 April 1996

Copyright © 1997 Ali Pancar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The generation of proper classes of short exact sequences of modules by subclasses is considered. The class generated by two proper classes is studied by means of some operations between these classes. These operations are investigated in details for classes of short quasi-splitting, torsion-splitting and pure exact sequences of abelian groups.