Extend Nearly Pseudo Quasi-2-Absorbing Submodules (II)
DOI:
https://doi.org/10.30526/36.2.3045Keywords:
EXNPQ-2-Absorbing submodule, multiplication modules, non-singular modules, faithful module, projective module, good rings and local rings.Abstract
The concept of the Extend Nearly Pseudo Quasi-2-Absorbing submodules was recently introduced by Omar A. Abdullah and Haibat K. Mohammadali in 2022, where he studies this concept and it is relationship to previous generalizationsm especially 2-Absorbing submodule and Quasi-2-Absorbing submodule, in addition to studying the most important Propositions, charactarizations and Examples. Now in this research, which is considered a continuation of the definition that was presented earlier, which is the Extend Nearly Pseudo Quasi-2-Absorbing submodules, we have completed the study of this concept in multiplication modules. And the relationship between the Extend Nearly Pseudo Quasi-2-Absorbing submodule and Extend Nearly Pseudo Quasi-2-Absorbing ideal. We also studied more result of Extend Nearly Pseudo Quasi-2-Absorbing submodule in multiplication module. In the end, we obtained new Propositions and distinguished results in studying this concept.
References
Haibat, K.; Mohammedali.; Omar, A. Abdalla., Pseudo Quasi-2-Absorbing Submodules and Some Related Concepts, Ibn Al-Haitham Journal for Pure and Applied Science, 2019, 32(2), 114-122.
Haibat, K.; Mohammedali; Khalaf, H. Alhabeeb., Nearly Quasi2-Absorbing Submodules, Tikrit Journal for Pure. Sci,2018, 23(9), 99-102.
Reem, T. Abdulqader.; Zinah, T. Abdulqader.; Haibat, K. Mohammedali.; Akram, S. Mohammed., Soc-QP2-Absorbing Submodules, Turkish Journal of Computer and Mathematics Education, 2022, 13(3), 761-770.
Omar, A.Abdalla.; Haibat, K. Mohammedali. ,Extend Nearly Pseudo Quasi-2-Absorbing Submodules(I), Ibn AL-Haitham Journal for pure and Applied Scince, 2022, too aper.
El-Bast, Z. A .;Smith, P. F., Multiplication Modules, Comm. In Algebra, 1988, 16(4), 755-779.
Kash, F. Modules., Rings. London Math. Soc. Monographs New York , Academic Press , 1982, 370.
Ali, S. M., On Cancellation Modules, M.Sc. Thesis, University of Baghdad. 1992.
Nuha, H.H., The Radicals of Modules, M.Sc. Thesis, University of Baghdad. 1996.
Barnard, A. Multiplication Modules, Journal of Algebra , (7), 174 - 178. 1981. 7.
Behboodi, M.; Koohi, H. ,Weakly Prime Modules, Vietnam J. of Math., 2004,32(2), 185-195.
Payman, M. H., Hollow Modules and Semi Hollow Modules, M.Sc. Thesis, University of Baghdad. 2005.
Goodearl, K. R., Ring Theory, Marcel Dekker, Inc. New York and Basel, 206. 1976.
Smith, P.F. Some Remarks of Multiplication Modules, Arch. Math, 1986, (50), 223-225.
Zelmanowitz, J. ,Regular Modules, Trans. Amerecan, Math. Soc. ,1973 (163), 341-355.
Mijbass, A. S. On Cancellation Modules, M.Sc. Theses, University of Baghdad. 1993.
Downloads
Published
Issue
Section
License
Copyright (c) 2023 Ibn AL-Haitham Journal For Pure and Applied Sciences
This work is licensed under a Creative Commons Attribution 4.0 International License.
licenseTerms
