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Some Results on AWN-injective Rings
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A concept of AWN-injective ring is defined by [1], that is, for any there exists and an Y-sub module of ( is aright -module) such that and as left S-module with S=End(u ). If is AWN-injective module, then we call aright AWN-injective ring. In this note also continue to study some extensions of AWN-injective rings. A mong others it is proved that, if is aright AWN-injective ring, so is for satisfying . Also prove that is reduced, and GW -reguler ring, if is a weak symmetric and whose every simple right -module is AWN-injective ring.
Title: Some Results on AWN-injective Rings
Description:
A concept of AWN-injective ring is defined by [1], that is, for any there exists and an Y-sub module of ( is aright -module) such that and as left S-module with S=End(u ).
If is AWN-injective module, then we call aright AWN-injective ring.
In this note also continue to study some extensions of AWN-injective rings.
A mong others it is proved that, if is aright AWN-injective ring, so is for satisfying .
Also prove that is reduced, and GW -reguler ring, if is a weak symmetric and whose every simple right -module is AWN-injective ring.
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