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Algebra and Discrete Mathematics, 2019, Volume 28, Issue 2, Pages 171–183 (Mi adm723)  
RESEARCH ARTICLE

Strongly prime submodules and strongly 0-dimensional modules

Z. Bilgina, S. Koçb, A. Özkirişcic

a Philosophy Department, Istanbul Medeniyet University 34000, Kadikoy, Istanbul, Turkey
b Department of Mathematics, Faculty of Science and Arts, Marmara University 34722, Istanbul, Turkey
c Department of Mathematics, Faculty of Science and Arts, Yildiz Technical University 34210, Istanbul, Turkey
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Abstract: In this work, we study strongly prime submodules and strongly 0-dimensional modules. We give some equivalent conditions for being a strongly 0-dimensional module. Besides we show that the quasi-Zariski topology on the spectrum of a strongly 0-dimensional module satisfies all separation axioms and it is a metrizable space.
Keywords: strongly prime submodule, strongly 0-dimensional module, multiplication module, quasi-Zariski topology.
Received: 29.03.2018
Revised: 18.09.2018
Document Type: Article
MSC: Primary 13A15, 13A99, 13C05, 13C99; Secondary 13E15, 13E99
Language: English
Citation: Z. Bilgin, S. Koç, A. Özkirişci, “Strongly prime submodules and strongly 0-dimensional modules”, Algebra Discrete Math., 28:2 (2019), 171–183
Citation in format AMSBIB
\Bibitem{BilKocOzk19}
\by Z.~Bilgin, S.~Ko{\c c}, A.~\"Ozkiri{\c s}ci
\paper Strongly prime submodules and strongly 0-dimensional modules
\jour Algebra Discrete Math.
\yr 2019
\vol 28
\issue 2
\pages 171--183
\mathnet{http://mi.mathnet.ru/adm723}
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