Injectivity and Graded Injectivity
Copyright policy )Injectivity and Graded Injectivity
The injectivity and graded injectivity of modules is studied. Injective testing sets of semiprime noetherian rings and FBN rings are particularily investigated. It is proved that gr-injectivity implies injectivity for commutative artinian graded rings graded by the integers, and also it is proved that the gr-global dimension and global dimension are the same.
- Guangxi University China (People's Republic of)
graded injective module, Noetherian rings and modules (associative rings and algebras), Projectives and injectives (category-theoretic aspects), Homological dimension (category-theoretic aspects), graded ring, injective module, graded Jacobson radical
graded injective module, Noetherian rings and modules (associative rings and algebras), Projectives and injectives (category-theoretic aspects), Homological dimension (category-theoretic aspects), graded ring, injective module, graded Jacobson radical
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