Seminário de Teoria de Operadores, Análise Complexa e Aplicações 

18/02/2013, 14:00 — 15:00 — Sala P3.10, Pavilhão de Matemática
Pedro Patrício, Universidade do Minho

Generalized invertibility in rings: some recent results

The theory of generalized inverses has its roots both on semigroup theory and on matrix and operator theory. In this seminar we will focus on the study of the generalized inverse of von Neumann, group, Drazin and Moore-Penrose in a purely algebraic setting. We will present some recent results dealing with the generalized inverse of certain types of matrices over rings, emphasizing the proof techniques used.