Modules whose partial endomorphisms have a δ-small kernels
Keywords:Small submodules, δ-small submodules, Monoform modules, δ-small monoform modules, Artinian principal ideal ring
Let R be a commutative ring and M a unital R-module. A submodule N is said to be δ-small, if whenever N + L = M with M/L is singular, we have L = M. M is called δ-small monoform if any of its partial endomorphism has δ-small kernel. In this paper, we introduce the concept of δ-small monoform modules as a generalization of monoform modules and give some of their properties, examples and characterizations.
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