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Nearly locally hollow modules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 190، دوره 13، شماره 1، خرداد 2022، صفحه 2293-2301 اصل مقاله (366.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5929 | ||
| نویسنده | ||
| Nada K. Abdullah* | ||
| Department of Mathematics, College of Education for Pure Science, University of Tikrit, Tikrit, Iraq | ||
| تاریخ دریافت: 10 آذر 1400، تاریخ بازنگری: 30 آذر 1400، تاریخ پذیرش: 08 دی 1400 | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity and let $M$ be an R-module. This study presents the nearly locally hollow module that's a strong form of a hollow module. We present that an $R$-module $M$ is nearly locally hollow if M has a unique semi-maximal sub-module that contains all small sub-modules of $M$. The current study deals with this class of modules and gives several fundamental properties related to this concept. | ||
| کلیدواژه‌ها | ||
| Nearly locally hollow module؛ $R$-module؛ sub-module؛ hollow module | ||
| مراجع | ||
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[1] M.S. Abbas and F.M. Manhal, d-small submodules and d-small projective modules, Int. J. Algebra 12 (2018) 25–30. [2] K.M. Ali, Hollow Modules and Semihollow modules, Thesis in College of Science, University of Baghdad, 2005. [3] Z.T. Khlaif and N.K. Abdullah, L-hollow modules, Tikrit J. Pure Sci. 24 (2019) 104–109. [4] M.F. Manhal, Essential-Small M-Projective Modules, Thesis College of science, Mustansiriyah University, 2018. [5] M. Mohammed and A.G. Ahmed, On Some Properties of hollow and hollow dimension modules, Pure Appl. Math. J. 2 (2013) 156–161. [6] K.I. Nagam, Local lifting module with some of there generalizations, Thesis in Collge of Science, University of Tikrit, 2019. [7] T. Unsal, On multiplication modules, Int. Math. Forum 2 (2007) 1415–1420. [8] Y.K. Hatem, Semimaximal Submodules, M. Sc. Thesis, University of Baghdad, 2007. [9] Y. Talebi, A.R. Moniri Hamzekolaee, M. Hosseinpour and S. Asgari, A new generalization of t-lifting modules, J. Algebra Related Topics 8 (2020) 1–13. | ||
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