S. Wongwai
Abstract
Let M be a right R −module. A right R -module N is called M -small prin- cipally injective (briefly, M -small P -injective ) if, every R -homomorphism 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 quasi-small principally injective modules.
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Let M be a right R −module. A right R -module N is called M -small prin- cipally injective (briefly, M -small P -injective ) if, every R -homomorphism 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 quasi-small principally injective modules.
Key concepts: Injective function, Homomorphism, Monomorphism, Mathematics, Injective module, Combinatorics, Discrete mathematics, Pure mathematics