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

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.