2009Journal of Gansu Lianhe UniversityRequires access

(e,M)-injective Modules

Yan Zhang

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Abstract

Let M be an arbitrary but fixed right Rmodule.A right Rmodule X is called(e,M)-injective in case for any essential monomorphism K→M,every right Rhomomorphism from K to X extends to M.Some properties and characterizations of(e,M)injective modules are given in this paper.

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Let M be an arbitrary but fixed right Rmodule.A right Rmodule X is called(e,M)-injective in case for any essential monomorphism K→M,every right Rhomomorphism from K to X extends to M.Some properties and characterizations of(e,M)injective modules are given in this paper.

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Available abstract

Let M be an arbitrary but fixed right Rmodule.A right Rmodule X is called(e,M)-injective in case for any essential monomorphism K→M,every right Rhomomorphism from K to X extends to M.Some properties and characterizations of(e,M)injective modules are given in this paper.

Key concepts: Monomorphism, Injective function, Injective module, Mathematics, Pure mathematics, Divisible group, Combinatorics, Discrete mathematics

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