A function is algebraic on an algebra math formula if it can be implicitly defined by a system of equations on math formula. In this note we give a semantic characterization for algebraic functions on quasiprimal algebras. ...

We construct indecomposable and noncrossed product division algebras over function fields of connected smooth curves X over Z(p). This is done by defining an index preserving morphism s: Br(<(K(X))over cap>)` --> Br(K(X))` ...

In this paper we apply the method of functional identities to the study of group gradings by an abelian group G on simple Jordan algebras, under very mild restrictions on the grading group or the base field of coefficients.

In this paper we initiate the study of cyclic algebraic geometry codes. We give conditions to construct cyclic algebraic geometry codes in the context of algebraic function fields over a finite field by using their group ...

The purpose of this note is to present some results on the arithmetic of dihedral algebraic function fields.