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On the Invertibility of a Homomorphism of Modules

Dang Xiangmm (Dept. of math.)  
In this paper, we give the definitions of the left (right) in vertible homomorphism of modules and the generalized invertible homomorphism of modules.And, we give the necessary and sufficient condition for that a homomorphism of modules can be left (right, generalized) invertible.Hence, we obtain a description on the injective modules and the projective modules.
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