Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.11889/4051
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dc.contributor.authorSaleh, Mohammad-
dc.date.accessioned2017-01-10T06:35:46Z-
dc.date.available2017-01-10T06:35:46Z-
dc.date.issued2004-01-
dc.identifier.urihttp://hdl.handle.net/20.500.11889/4051-
dc.description.abstractThe 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.isoen_USen_US
dc.subjectModules (Algebra)en_US
dc.subjectCommutative ringsen_US
dc.subjectCongruence modular varietiesen_US
dc.titleOn weakly projective and weakly injective modulesen_US
dc.typeArticleen_US
newfileds.departmentArtsen_US
newfileds.item-access-typeopen_accessen_US
newfileds.thesis-prognoneen_US
newfileds.general-subjectnoneen_US
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