Small Monoform Modules

Autor: Inaam, M.A. Hadi, Hassan K. Marhun
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Ibn Al-Haitham Journal for Pure and Applied Sciences, Vol 27, Iss 2 (2017)
Druh dokumentu: article
ISSN: 1609-4042
2521-3407
Popis: Let R be a commutative ring with unity, let M be a left R-module. In this paper we introduce the concept small monoform module as a generalization of monoform module. A module M is called small monoform if for each non zero submodule N of M and for each f ∈ Hom(N,M), f ≠0 implies ker f is small submodule in N. We give the fundamental properties of small monoform modules. Also we present some relationships between small monoform modules and some related modules
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