The finite dimensional case differs from the general von Neumann algebras in that topology plays no role and they can be characterized using Wedderburn's theory of semisimple algebras.
The subject of her dissertation is the history of the theory of algebras, especially the work of Joseph Wedderburn (The contributions of J. H. M. Wedderburn to the theory of algebras, 1900–1910).
Flood received an MA in mathematics at the University of Nebraska, and a PhD at Princeton University in 1935 under the supervision of Joseph Wedderburn, for the dissertation Division by Non-singular Matric Polynomials.
Joseph Stalin | Joseph Conrad | Saint Joseph | Joseph Haydn | Joseph Beuys | Joseph | Joseph Goebbels | Joseph II, Holy Roman Emperor | Joseph Barbera | Joseph Chamberlain | Joseph Brodsky | Franz Joseph I of Austria | Joseph Henry Blackburne | Joseph Banks | Joseph McCarthy | Joseph II | Joseph Campbell | Joseph and the Amazing Technicolor Dreamcoat | Joseph Priestley | Joseph Bonaparte | Joseph Pulitzer | Joseph Stiglitz | Joseph Paxton | Joseph Addison | Joseph Rothrock | Joseph Losey | Joseph Lister, 1st Baron Lister | Joseph Story | Joseph Whitworth | Joseph Pitton de Tournefort |