On JS-Injective Rings
DOI:
https://doi.org/10.29304/jqcm.2023.15.2.1253Keywords:
JS-injective ring., Finitely generated module., Injective ring.Abstract
Let be a ring. A right -module is called JS- -injective (where is any right -module) if every right -homomorphism from a submodule of J J into extends to [9]. A ring is called right JS-injective if is JS- -injective. The right JS-injective rings are studied in this paper. Many characterizations and properties of this type of rings are obtained.
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References
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E. A. Naim and A. R. Mehdi, “On gs-pseudo-injective modules,” Journal of Discrete Mathematical Sciences, vol. 25, no. 5 (2022) , pp. 1535-1545.
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Z. A. Zone and A. R. Mehdi, “On a generalization of small-injective modules,” Iraqi Journal of Science, to appear.
P. E. Bland, Rings and Their Modules. Berlin:Walter de Gruyter & Co., ( 2011).
F. Kasch, Modules and Rings. London: Academic Press, (1982).
T. Y. Lam, Lectures on Modules and Rings. New York: Springer-Verlag, (1999).
A. R. Mehdi, “On L-injective modules,” Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 28(2) (2018), pp. 176–192.
E. A. Naim and A. R. Mehdi, “On gs-pseudo-injective modules,” Journal of Discrete Mathematical Sciences, vol. 25, no. 5 (2022) , pp. 1535-1545.
L. Shen and J. Chen, “New characterizations of quasi-Frobenius rings,” Comm. Algebra, vol. 34 (2006), pp. 2157-2165.
A. A. Tuganbaev, “Muitiplication Modules,” J. Mathimatical sciences, 123 (2004), pp. 3839-3905.
Z. A. Zone and A. R. Mehdi, “On a generalization of small-injective modules,” Iraqi Journal of Science, to appear.
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Published
2023-09-25
How to Cite
Zone, Z. A., & Mehdi, A. R. (2023). On JS-Injective Rings. Journal of Al-Qadisiyah for Computer Science and Mathematics, 15(2), Math Page 111–117. https://doi.org/10.29304/jqcm.2023.15.2.1253
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Math Articles
