Please use this identifier to cite or link to this item:
http://hdl.handle.net/20.500.11889/4051
DC Field | Value | Language |
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dc.contributor.author | Saleh, Mohammad | - |
dc.date.accessioned | 2017-01-10T06:35:46Z | - |
dc.date.available | 2017-01-10T06:35:46Z | - |
dc.date.issued | 2004-01 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.11889/4051 | - |
dc.description.abstract | 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. | en_US |
dc.language.iso | en_US | en_US |
dc.subject | Modules (Algebra) | en_US |
dc.subject | Commutative rings | en_US |
dc.subject | Congruence modular varieties | en_US |
dc.title | On weakly projective and weakly injective modules | en_US |
dc.type | Article | en_US |
newfileds.department | Arts | en_US |
newfileds.item-access-type | open_access | en_US |
newfileds.thesis-prog | none | en_US |
newfileds.general-subject | none | en_US |
item.fulltext | With Fulltext | - |
item.languageiso639-1 | other | - |
item.grantfulltext | open | - |
Appears in Collections: | Fulltext Publications |
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File | Description | Size | Format | |
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On_weakly_projective_and_weakly_injective_modules.pdf | 269.88 kB | Adobe PDF | View/Open |
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