On coregular closure operators

• Author(s): Gutierres, Gonçalo
• Date: 1999
• Persistent ID: http://hdl.handle.net/10316/11480
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Closure operator; (co) regular closure operator; Connectedness; Preradical; Torsion theory
• Document Type: Preprint
• Language: English

Description

Among closure operators in the sense of Dikranjan and Giuli [5] the regular ones have a relevant role and have been widely investigated. On the contrary, the coregular closure operators were introduced only recently in [3] and they need to be further investigated. In this paper we study co regular closure operators, in connection connectednesses and disconnectednesses, in the realm of topological spaces and modules.