International Journal of Mathematics and Mathematical Sciences
Volume 20 (1997), Issue 3, Pages 465-473
doi:10.1155/S016117129700063X
Generation of proper classes of short exact sequences
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.
Abstract
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.