A. Laradji
Abstract
Injective modules are known to be precisely those over which every compatible system of linear equations is solvable. In this note, we introduce the concept of strong compatibility to give an analogous, but not generally known characterization of quasi-injectivity.
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Injective modules are known to be precisely those over which every compatible system of linear equations is solvable. In this note, we introduce the concept of strong compatibility to give an analogous, but not generally known characterization of quasi-injectivity.
Key concepts: Characterization (materials science), Mathematics, Injective function, Injective module, Pure mathematics, Algebra over a field, Physics, Optics