2007Journal of Zhejiang Normal UniversityRequires access

A note on essentially injective modules

Dongdong Zhang

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Abstract

Essentially injectivity is a generalization of ojectivity.The concept of essentially injective module was presented.It was proved that essentially injective modules and essentially ojective modules were consistent.Similarly to the injective module,some properties of essentially injective modules,such as Baer Criterion were established.

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Essentially injectivity is a generalization of ojectivity.The concept of essentially injective module was presented.It was proved that essentially injective modules and essentially ojective modules were consistent.Similarly to the injective module,some properties of essentially injective modules,such as Baer Criterion were established.

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Available abstract

Essentially injectivity is a generalization of ojectivity.The concept of essentially injective module was presented.It was proved that essentially injective modules and essentially ojective modules were consistent.Similarly to the injective module,some properties of essentially injective modules,such as Baer Criterion were established.

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

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