On quantales of preradical Bland filters and differential preradical filters

• Дата: 2018
• Автор: Melnyk, Ivanna
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: differential ring; quantale; differential preradical filter; differential preradical Bland filter; differential torsion theory; Bland torsion theory; 20F05; 20E05; 57M07
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/872
• Назва журналу: Algebra and Discrete Mathematics

We prove that the set of all Bland preradical filters over an arbitrary differential ring form a quantale with respect to meets where the role of multiplication is played by the usual Gabriel pro-duct of filters. A subset of a differential pretorsion theory is a subquantale of this quantale.