On Fully Closed Stable Modules
DOI:
https://doi.org/10.48048/wjst.2021.9534Keywords:
CL-duo module, Fully stable module, Fully closed stable module, Mono-C-coretractable moduleAbstract
In this paper, we studied the notion of the fully closed stable module and identified some basic properties of this notion. We also investigated some concepts which are related to this module. In addition, the notion of CL-duo and fully closed stable modules were also studied.
HIGHLIGHTS
- Studying the concept of fully closed stable modules
- Connect two concepts with important algebraic properties
- Giving new results to related concepts such as duo module closed multiplication module and closed monomorphism coretractable module
Downloads
Metrics
References
MS Abbas and SA Al-Saadi. Stable (Quasi-) continuous modules. Al-Mustansiriya J. Sci. 2013; 24, 83-93.
MS Abbas. Semi-injectivity and continuity. Al-Mustansiriya J. Sci. 2007; 18, 99-112.
MA Ahmed. CL-duo modules. Baghdad Sci. J. 2017; 14, 642-50.
SA Al-Saadi and TA Ibrahim. Dual strongly Rickart modules. J. Adv. Math. 2015; 11, 3923-30.
ZA El-Bast and PF Smith. Multiplication modules. Comm. Algebra 1988; 16, 755-79.
Y Gang and L Zhong-Kui. On hopfian and co-hopfian modules. Vietnam J. Math. 2007; 35, 73-80.
IM Ali and TY Ghawi. On closed Rickart modules. Iraqi J. Sci. 2016; 57, 2746-53.
IMA Hadi and SN Al-Aeashi. C-coretractable and strongly C-coretractable modules. In Proceedings of the 1st Scientific International Conference, College Of Science, Al-Nahrain University. 2019, p. 65-72.
SN Al-Aeashi and IMA Hadi. Closede multiplication modules. Ital. J. Pure Appl. Math.; 2019, 46.
G Lee. 2010, Theory of Rickart modules. Ph. D. Dissertation. Ohio State University, Ohio State USA.
MS Abbas and AG Naum. Fully stable modules. Iraqi J. Sci. 2002; 43, 62-74.
AC Ozcan, A Harmanci and PF Smith. Duo modules. Glasgow Math. J. 2006; 48, 533-45.
A Tuganbaev. Skew-injective modules. J. Math. Sci. 1999; 95, 2328-420.
R Wisbauer. Foundations of modules and ring theory. Gordon and Breach Science Publishers, Reading, 1991.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2021 Walailak University

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.