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

• Дата: 2016
• Автор: Maloid-Glebova, Marta
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Lugansk National Taras Shevchenko University 2016
• Теми: strongly-prime ideal; strongly-prime module; cyclic spectrum; torsion-theoretic spectrum; localizations
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/87
• Назва журналу: 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...