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2001•Journal of Liaocheng Teachers UniversityRequires access

Characterizing Rings by Direct-Prrojective Modules and Direct-Injective Modules

Yao Zhong

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Abstract

In this paper,the characterizations of hereditary rings,Notherian rings,Artinian semisimple rings via direct\|projective modules and direct\|injective modules are given.

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In this paper,the characterizations of hereditary rings,Notherian rings,Artinian semisimple rings via direct\|projective modules and direct\|injective modules are given.

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Available abstract

In this paper,the characterizations of hereditary rings,Notherian rings,Artinian semisimple rings via direct\|projective modules and direct\|injective modules are given.

Key concepts: Injective module, Injective function, Monomorphism, Mathematics, Projective module, Pure mathematics, Computer science, Finitely-generated abelian group

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