Kernels of homomorphisms between uniform quasi-injective modules
Journal of Algebra and Its Applications, 2022•World Scientific
In this paper, we study the behavior of endomorphism rings of indecomposable (uniform)
quasi-injective modules. A very natural question here is, for a morphism f: A→ B, with A, B
indecomposable (uniform) quasi-injective right R-modules, and g: E (A)→ E (B) an extension
of f where E (−) denotes the injective hull, what is the relation between kernels of f and g,
their monogeny classes and their upper parts?
quasi-injective modules. A very natural question here is, for a morphism f: A→ B, with A, B
indecomposable (uniform) quasi-injective right R-modules, and g: E (A)→ E (B) an extension
of f where E (−) denotes the injective hull, what is the relation between kernels of f and g,
their monogeny classes and their upper parts?
In this paper, we study the behavior of endomorphism rings of indecomposable (uniform) quasi-injective modules. A very natural question here is, for a morphism , with indecomposable (uniform) quasi-injective right -modules, and an extension of where denotes the injective hull, what is the relation between kernels of and , their monogeny classes and their upper parts?
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