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2007•Journal of Mathematical Research and ExpositionRequires access

Pseudo-Injective Modules and Principally Pseudo-Injective Modules

Zhao Chun-e

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Abstract

Considered in this paper axe pseudo-injective modules and principally pseudoinjective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings.

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What this paper is about

Considered in this paper axe pseudo-injective modules and principally pseudoinjective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings.

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Available abstract

Considered in this paper axe pseudo-injective modules and principally pseudoinjective modules, which are generalizations of quasi-injective modules and PQ-injective modules. Pseudo-injective modules are dual to pseudo-projective modules. We study their properties and endomorphism rings, and obtain some properties of the Jacobson radical of such rings.

Key concepts: Injective function, Injective module, Mathematics, Projective module, Endomorphism, Monomorphism, Pure mathematics, Horizontal line test

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