Strongly prime submodules and strongly 0-dimensional modules

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• ISSN: 1726-3255
• Main Authors: Bilgin, Z., Koç, S., Özkirişci, N.A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188486
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Strongly prime submodules and strongly 0-dimensional modules / Z. Bilgin, S. Koç, N.A. Özkirişci // Algebra and Discrete Mathematics. — 2019. — Vol. 28, № 2. — С. 171–183. — Бібліогр.: 16 назв. — англ.

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...