18/02/2013, 14:00 — 15:00 — Room P3.10, Mathematics Building
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.