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Quasi-Injective and Pseudo-Infective Modules

Published online by Cambridge University Press:  20 November 2018

S. K. Jain  and
Surjeet Singh
S. K. Jain
Affiliation:
Ohio University, Aligarh Muslim University, India
Surjeet Singh
Affiliation:
Ohio University, Aligarh Muslim University, India
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Let R be a ring with identity not equal to zero. A right R-module is said to be quasi-injective (pseudo-injective) if for every submodule N of M, every R-homomorphism (R-monomorphism) of N into M can be extended to an R-endomorphism of M [7] ([13]).

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 3 , August 1975 , pp. 359 - 366
Copyright
Copyright © Canadian Mathematical Society 1975

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