Strongly prime submodules and strongly 0-dimensional modules

• Date: 2020
• Main Authors: Bilgin, Zehra, Koç, Suat, Özkirişci, Ayşen
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: strongly prime submodule; strongly 0-dimensional module; multiplication module; quasi-Zariski topology; Primary 13A15; 13A99; 13C05; 13C99; Secondary 13E15; 13E99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1112
• Journal Title: Algebra and Discrete Mathematics

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...