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Some topological properties of spectrum of fuzzy submodules | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 14، شماره 1، اردیبهشت 2017، صفحه 77-87 اصل مقاله (373.63 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2017.3038 | ||
| نویسندگان | ||
R. Ameri  1؛ R. Mahjoob2
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| 1School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Teheran, Iran | ||
| 2Department of Mathematics, Semnan University, Semnan, Iran | ||
| چکیده | ||
| Let $R$ be a commutative ring with identity and $M$ be an $R$-module. Let $FSpec(M)$ denotes the collection of all prime fuzzy submodules of $M$. In this regards some basic properties of Zariski topology on $FSpec(M)$ are investigated. In particular, we prove some equivalent conditions for irreducible subsets of this topological space and it is shown under certain conditions $FSpec(M)$ is a $T_0-$space or Hausdorff. | ||
| کلیدواژه‌ها | ||
| Fuzzy prime submodule؛ Fuzzy prime spectrum؛ Zariski topology؛ Irreducible subset | ||
| مراجع | ||
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