Ivanna Melnyk, “On quantales of preradical Bland filters and differential preradical filters”, Algebra Discrete Math., 2007, Issue 4,Pages <nobr>108

RESEARCH ARTICLE

On quantales of preradical Bland filters and differential preradical filters

Ivanna Melnyk

Algebra and Logic Department, Mechanics and Mathematics Faculty, Ivan Franko National University of Lviv, 1 Universytetska Str., Lviv, 79000, Ukraine

Abstract: 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.

Keywords: differential ring, quantale, differential preradical filter, differential preradical Bland filter, differential torsion theory, Bland torsion theory.

MSC: 20F05, 20E05, 57M07

Received: 15.05.2007
Revised: 15.05.2007

Language: English