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Semi local hollow modules | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 2545-2553 اصل مقاله (146.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5409 | ||
| نویسندگان | ||
| Nada K. Abdullah* 1؛ Nada J. Mohammed2 | ||
| 1Department of Mathematics, College of Education for pure science, Tikrit university, Tikrit, Iraq | ||
| 2Department of Mathematics, College of Education for women, Tikrit university, Tikrit, Iraq | ||
| تاریخ دریافت: 22 اسفند 1399، تاریخ پذیرش: 07 خرداد 1400 | ||
| چکیده | ||
| To consider \(R\) is a commutative ring with unitary, \(X\) be a non--Zero unity left \(R - module\); \(X\) is known hollow module if each proper sub module of \(X\) is semi small local hollow module if \(X\) has a unique maximal submodule which contains each semi small submodule. The current study deals with this class of modules and give several fundamental properties related with this concept. | ||
| کلیدواژهها | ||
| Semi small submodules؛ Local hollow modules؛ Semi local hollow module | ||
| مراجع | ||
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[1] S. Ali and K. Nada, Semi small submodule, Tikrit J. of pure science, 4 (2011) 104-107. [2] S. A. Alsaadi and N. O.Saduon, FI-Hollow Lifting modules, Al-mustansiriyah J. Sci., 24 (2013) 293-306. [3] Nada Jasim Mohammad Al-Obaidy, Quaisi essentially pseudo prime modules, Tikrit journal of pure science, 15 (2016) 192-195. [4] R. M. Jeathoom, Some Generalizations of hollow modules, Thesis college of Sci. Mus. University, 2017. [5] S. H. Mohamed and B. J. Muller, Continuous and Discrete Modules, London Math. Soc. LNS147 Cambridge university press, Cambridge, 1990. [6] M. H. Payman,Hollow modules and semi hollow modules, Thesis College of Science, university of Baghdad, 2005. [7] Z. Thear and K. Nada, L-Hollow modules, Tikrit J. of pure science, 24 (2020) 104–109. [8] R. Wisbauer, Foundation of module and Ring theory, Gordon and Bratch Reading, University of Dusseldorf, 1991. [9] S. M. Yasen and W. K. Hasan, Pure supplement module, Journal of science, 53 (2012) 882-886. | ||
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