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2008•Journal of Baoji University of Arts and SciencesRequires access

Essentially GP-injective modules

Xiaohui Li

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Abstract

Aim Essentially R-injective modules,essentially N-injective modules and GP-injective modules are generalized,then injective modules and some properties are studied.Methods Bear codes and other properties are generalized on the basic of some corresponding results.Results Some properties of essentially GP-injective modules are given,and the concept of essentially GP-injective dimension is introduced.Conclusion Essentially GP-injective modules are the generation of injective modules and their properties have been proved.

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Aim Essentially R-injective modules,essentially N-injective modules and GP-injective modules are generalized,then injective modules and some properties are studied.Methods Bear codes and other properties are generalized on the basic of some corresponding results.Results Some properties of essentially GP-injective modules are given,and the concept of essentially GP-injective dimension is introduced.Conclusion Essentially GP-injective modules are the generation of injective modules and their properties have been proved.

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Available abstract

Aim Essentially R-injective modules,essentially N-injective modules and GP-injective modules are generalized,then injective modules and some properties are studied.Methods Bear codes and other properties are generalized on the basic of some corresponding results.Results Some properties of essentially GP-injective modules are given,and the concept of essentially GP-injective dimension is introduced.Conclusion Essentially GP-injective modules are the generation of injective modules and their properties have been proved.

Key concepts: Injective function, Injective module, Mathematics, Monomorphism, Divisible group, Horizontal line test, Pure mathematics, Module

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