Racine, Michel,Jaber, Ameer Ahmad Abdallah2013-11-072013-11-0720032003Source: Dissertation Abstracts International, Volume: 64-10, Section: B, page: 4975.http://hdl.handle.net/10393/29020http://dx.doi.org/10.20381/ruor-12733In the first part of this thesis, we study the existence of superinvolutions of both kinds on finite dimensional central simple superalgebras. We study the group of automorphisms of a central simple associative superalgebra with superinvolution, and then study the group of automorphisms for two examples in detail. In the second part, we give the definition of projective supermodules; it is used to study separable superalgebras over super-commutative super-rings. We prove that a central separable superalgebra over a given field is a finite dimensional central simple superalgebra over the field and vice versa. We also present the fundamental theory of separable superalgebras, with the attendant theory of the Brauer-Wall group of supercommutative super-ring. Finally, we give the definition of superinvolutions of central separable superalgebras, and then extend two results on involutions of central separable algebras proved by D. J. Saltman.127 p.enMathematics.Thesis