@article{Hummdi2024, 
author = {Ali Yahya Hummdi and Amr Elrawy and Ayat A. Temraz},
title = {Neutrosophic modules over modules},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {35964-35977},
keywords = {neutrosophic set, neutrosophic modules, modules},
url = {https://www.sciopen.com/article/10.3934/math.20241705},
doi = {10.3934/math.20241705},
abstract = {A module represents a fundamental and complicated algebraic structure associated with a particular binary operation in algebraic theory. This paper introduces a new class of neutrosophic sub-module and neutrosophic R-sub-module. We extend the basic definitions in this area for the first time. Various properties of a neutrosophic R-sub-module are studied in different classes of rings. Moreover, various definitions of direct product and homomorphism of neutrosophic R-sub-modules are discussed, and results are provided.}
}