Academic Journal
Weakly projective and weakly injective modules
| Τίτλος: | Weakly projective and weakly injective modules |
|---|---|
| Συγγραφείς: | Saleh, Mohammad |
| Έτος έκδοσης: | 1994 |
| Συλλογή: | FADA - Birzeit University Open Access Repository |
| Θεματικοί όροι: | Rings (Algebra), Modules (Algebra), Unit groups (Ring theory), Algebra - Data processing |
| Περιγραφή: | The purpose of this paper is to further the study of weakly injective and weakly projective modules as a generalization of injective and projective modules. For a locally q.f.d. module M, there exists a module K ∈ σ[M] such that K ⊕ N is weakly injective in σ[M], for any N ∈ σ[M]. Similarly, if M is projective and right perfect in σ[M], then there exists a module K ∈ σ[M] such that K ⊕ N is weakly projective in σ[M], for any N ∈ σ[M]. Consequently, over a right perfect ring every module is a direct summand of a weakly projective module. For some classes M of modules in σ[M], we study when direct sums of modules from M satisfy property P in σ[M]. In particular, we get characterizations of locally countably thick modules, a generalization of locally q.f.d. modules. |
| Τύπος εγγράφου: | article in journal/newspaper |
| Γλώσσα: | English |
| Relation: | http://hdl.handle.net/20.500.11889/4049 |
| Διαθεσιμότητα: | https://hdl.handle.net/20.500.11889/4049 |
| Αριθμός Καταχώρησης: | edsbas.AEBB30ED |
| Βάση Δεδομένων: | BASE |
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