On the relative solvability of certain inverse monoids

• Author(s): Cordeiro, Edite ; Delgado, Manuel
• Date: 2010
• Persistent ID: http://hdl.handle.net/10198/6341
• Origin: Biblioteca Digital do IPB
• Subject(s): Inverse monoid; Pseudovariety; (Relative) abelian kernel; (Relative) solvability
• Document Type: Article
• Language: English

Description

The notion of kernel of a finite monoid relative to a pseudovariety of groups can be used to define relative solvability of monoids in a similar way to the manner in which the notion of derived subgroup can be used to define solvable group. In this paper we study the solvability of certain inverse monoids relative to pseudovarieties of abelian groups.