On quantales of preradical Bland filters and differential preradical filters

• Datum: 2018
• 1. Verfasser: Melnyk, Ivanna
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: differential ring; quantale; differential preradical filter; differential preradical Bland filter; differential torsion theory; Bland torsion theory; 20F05; 20E05; 57M07
• Online Zugang: 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.