Some characterizations of a class of special morphisms of modules. (Chinese. English summary) Zbl 1463.16017
Summary: Let \(n\) be a positive integer. Firstly, some equivalent characterizations of \({\mathrm{Tor}}_n\)-monomorphism and \({\mathrm{Ext}}^n\)-epimorphism are studied. Secondly, some sufficient conditions for a morphism to be a \({\mathrm{Tor}}_n\)-epimorphism or an \({\mathrm{Ext}}^n\)-monomorphism are given.
MSC:
| 16E30 | Homological functors on modules (Tor, Ext, etc.) in associative algebras |
