Cyclic left and torsion-theoretic spectra of modules and their relations

• Date: 2016
• Main Author: Maloid-Glebova, Marta
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: strongly-prime ideal; strongly-prime module; cyclic spectrum; torsion-theoretic spectrum; localizations
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87
• Journal Title: Algebra and Discrete Mathematics

In this paper, strongly-prime submodules of a cyclic module are considered and their main properties are given. On this basis, a concept of a cyclic spectrum of a module is introduced. This spectrum is a generalization of the Rosenberg spectrum of a noncommutative ring. In addition, some natural pro...