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• SMALL PQ-PRINCIPALLY INJECTIVE MODULES

S. Wongwai

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Abstract

Let M be a right R −module. A right R −module N is called small pseudo M − principally injective (briefly, small PM − principally injective) if, every R −monomorphism from an M − cyclic small 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 pseudo quasi-principally injective modules.

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Let M be a right R −module. A right R −module N is called small pseudo M − principally injective (briefly, small PM − principally injective) if, every R −monomorphism from an M − cyclic small 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 pseudo quasi-principally injective modules.

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Available abstract

Let M be a right R −module. A right R −module N is called small pseudo M − principally injective (briefly, small PM − principally injective) if, every R −monomorphism from an M − cyclic small 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 pseudo quasi-principally injective modules.

Key concepts: Monomorphism, Injective function, Homomorphism, Injective module, Mathematics, Pure mathematics, Flat module, Discrete mathematics

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