The inverse along a lower triangular matrix

• Author(s): Mary, Xavier ; Patrício, Pedro
• Date: 2012
• Persistent ID: http://hdl.handle.net/1822/20668
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Generalized inverse; Inverse along an element; Dedekind-finite ring; Green's relations; Rings
• Document Type: Article
• Language: English

Description

In this paper, we investigate the recently defined notion of inverse along an element in the context of matrices over a ring. Precisely, we study the inverse of a matrix along a lower triangular matrix, under some conditions.