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2011•Unpublished venueRequires access

Small Principally Quasi-injective Modules

S. Wongwai

Open publisher page 4 citations

Abstract

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly, SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N can be extended to an R-homomorphism from M to N. In this paper we give some characterizations and properties of small principally quasi-injective modules. Mathematics Subject Classification: 16D50, 16D70, 16D80

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What this paper is about

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly, SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N can be extended to an R-homomorphism from M to N. In this paper we give some characterizations and properties of small principally quasi-injective modules. Mathematics Subject Classification: 16D50, 16D70, 16D80

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Available abstract

Let M be a right R-module. A right R-module N is called small principally M-injective (briefly, SP-M-injective) if, every R-homomorphism from a small and principal submodule of M to N can be extended to an R-homomorphism from M to N. In this paper we give some characterizations and properties of small principally quasi-injective modules. Mathematics Subject Classification: 16D50, 16D70, 16D80

Key concepts: Injective function, Homomorphism, Mathematics, Injective module, Monomorphism, Mathematics Subject Classification, Combinatorics, Discrete mathematics

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