About e-gH modules
DOI:
https://doi.org/10.29304/jqcm.2023.15.1.1174Keywords:
Hopfian modules, e-gH modules, Right e-domin ringAbstract
This article introduced and explored the concept of the -gH module and its relation to many other module types.
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References
[1] A. Ghorbani and A. Haghany, Generalized Hopfian modules, Journal of Algebra 255 (2002), pp. 324-341.
[2] K. R. Goodearl, Ring theory, Nonsingular Rings and Modules, Dekker, Newyork, (1976).
[3] I. M-A. Hadi and S. H. Aidi, On e-small submodules, Ibn Al-Haitham Jour. for Pure & Appl. Sci., 28(3) (2015), pp.214-222.
[4] I. M-A. Hadi and S. H. Aidi, e-Hollow modules, Int. J. of Advanced Sci. and Technical Research, issue 5, 3(2015), pp.453-461.
[5] V. A. Hiremath, Hopfian rings and Hopfian modules, Indian J. Pure Appl. Math. 17 (1986), pp. 895-900.
[6] F. Kasch, Modules and rings, Academic press, New York, (1982).
[7] T. Y. Lam, Lectures on modules and rings, Graduate Texts in Mathematics,189, Springer, New York, 1999.
[8] O. B. Mohammed and T. Y. Ghawi, Modules in which every surjective endomorphism has an e-small kernel, Journal of Kufa for Mathematics and
Computer, to appear, 2023.
[9] M. M. Obaid, Principally g-Supplemented Modules and Some Related Concepts, M. Sc. Thesis, College of Education, University of Al-Qadisiyah,
Iraq, 2022.
[10] A. Pinar and A. Ç. Özcan, Semi co-Hopfian and Semi Hopfian Modules, East-West J. of Mathematics: 10(1) (2008), pp.57-72.
[11] L. V. Thuyet and P. H. Tin, Some characterizations of modules via essentially small submodules, Kyungpook Math. J. 56(2016), pp.1069-1083.
[12] K. Varadarajan, Hopfian and co-Hopfian objects, Publ. Mat. 36 (1992), p. 293-317.
[13] D. X. Zhou and X.R. Zhang, Small-Essential submodules and Morita Duality, Southeast Asian Bulletin of Mathematics, 35(2011),
pp.1051-1062.
[2] K. R. Goodearl, Ring theory, Nonsingular Rings and Modules, Dekker, Newyork, (1976).
[3] I. M-A. Hadi and S. H. Aidi, On e-small submodules, Ibn Al-Haitham Jour. for Pure & Appl. Sci., 28(3) (2015), pp.214-222.
[4] I. M-A. Hadi and S. H. Aidi, e-Hollow modules, Int. J. of Advanced Sci. and Technical Research, issue 5, 3(2015), pp.453-461.
[5] V. A. Hiremath, Hopfian rings and Hopfian modules, Indian J. Pure Appl. Math. 17 (1986), pp. 895-900.
[6] F. Kasch, Modules and rings, Academic press, New York, (1982).
[7] T. Y. Lam, Lectures on modules and rings, Graduate Texts in Mathematics,189, Springer, New York, 1999.
[8] O. B. Mohammed and T. Y. Ghawi, Modules in which every surjective endomorphism has an e-small kernel, Journal of Kufa for Mathematics and
Computer, to appear, 2023.
[9] M. M. Obaid, Principally g-Supplemented Modules and Some Related Concepts, M. Sc. Thesis, College of Education, University of Al-Qadisiyah,
Iraq, 2022.
[10] A. Pinar and A. Ç. Özcan, Semi co-Hopfian and Semi Hopfian Modules, East-West J. of Mathematics: 10(1) (2008), pp.57-72.
[11] L. V. Thuyet and P. H. Tin, Some characterizations of modules via essentially small submodules, Kyungpook Math. J. 56(2016), pp.1069-1083.
[12] K. Varadarajan, Hopfian and co-Hopfian objects, Publ. Mat. 36 (1992), p. 293-317.
[13] D. X. Zhou and X.R. Zhang, Small-Essential submodules and Morita Duality, Southeast Asian Bulletin of Mathematics, 35(2011),
pp.1051-1062.
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Published
2023-04-03
How to Cite
Mohammed, O. B., & Ghawi, T. Y. (2023). About e-gH modules. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(1), Math Page 121–126. https://doi.org/10.29304/jqcm.2023.15.1.1174
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