On primary isolated submodules

	On primary isolated submodules
International Journal of Nonlinear Analysis and Applications
مقاله 131، دوره 13، شماره 1، خرداد 2022، صفحه 1605-1611 اصل مقاله (369.79 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5775
نویسندگان
Ghaleb Ahmed^* ؛ Tamara Alshareef
Department of Mathematics, College of Education for Pure Science, Ibn-Al-Haitham, University of Baghdad, Baghdad, Iraq
چکیده
Let \(L\) be a left module over a ring \(\text{\ S}\) with identity. In this paper, the concept of primary isolated submodules is introduced. We look for relations between this class of submodules and related modules. A number of facts and characterizations that concern is gained. The aim of this work is to introduce and study the primary isolated submodules as a generalization of isolated submodules. A submodule \(A\) of \(L\) is primary isolated if for each proper \(B\) of \(A\), there is a primary submodule \(C\) of \(L\), \(B \subseteq C\) but\(\text{\ A} \nsubseteq C\). Some properties are gained and we look for any relationship between this type of modules and other related modules.
کلیدواژه‌ها
Primary isolated submodules؛ Primary lifted submodules؛ Primary radical submodules؛ Primary submodules؛ Prime submodules
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