Amply Essential Supplemented Modules
Celil Nebiyev, Hasan Hüseyin Ökten, Ayten Pekin
Journal of Scientific Research and Reports · pp. 1–4 · Published 24 Dec 2018
10.9734/JSRR/2018/45651Abstract
In this work, amply essential supplemented modules are defined and some properties of these modules are investigated. We prove that every π−projective and essential supplemented module is amply essential supplemented. We also prove that every factor module and every homomorphic image of an amply essential supplemented module are amply essential supplemented. Let M be a projective and essential supplemented R−module. Then every finitely M−generated R−module is amply essential supplemented.
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