Some New Results about Neutrosophic KU-Module

Mohammed N. Hamidy^{1, *}, Majid Mohammed Abed¹

¹Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq

Emails: moh23u2002@uoanbar.edu.iq; majid_math@uoanbar.edu.iq

Abstract

In this paper, we present new concept namely neutrosophic algebra. Some types of notions such as KU-module, KU-ideal and KU-submodule. We proved that if AI is minimal submodule, then AI ascending (descending) chain condition. On the other hand, more results about Neutrosophic exact sequence and Neutrosophic homomorphism KU-module have been presented.

Keywords: KU-Module; Maximal ideal; Neutrosophic Set; Neutrosophic ring; Neutrosophic module