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Preenveloping Classes of Acts
Mohanad Farhan Hamid
Preenvelopes of acts over a monoid are defined by analogy with Enochs' definition of preenvelopes of modules. Provided that it is closed for pure subacts, a class of acts is shown…
Coneat Injective Modules
Mohanad Farhan Hamid
A module is called coneat injective if it is injective with respect to all coneat exact sequences. The class of such modues is enveloping and falls properly between injectives and…
On (co)pure Baer injective modules
Mohanad Farhan Hamid
For a given class of R-modules Q, a module M is called Q-copure Baer injective if any map from a Q-copure left ideal of R into M can be extended to a map from R into M. Depending o…
Absolutely Self Pure Modules
Mohanad Farhan Hamid
An -module is called absolutely self pure if for any finitely generated left ideal of whose kernel is in the filter generated by the set of all left ideals of wi…