O principal objetivo deste trabalho é apresentar a teoria de Galois sobre anéis comutativos, exibindo uma definição adequada para uma extensão de anéis ser galoisiana, de modo que esta seja uma generalização natural da ...

Let k be a field and let H be a rigid braided Hopf k-algebra. In this paper we continue the study of the theory of braided Hopf crossed products began in [J.A. Guccione, J.J. Guccione, Theory of braided Hopf crossed products, ...

Let L/Q be a cyclic extension of degree p, where p is an odd unramified prime in L/Q. An explicit description of the integral trace form Tr-L/Q(x(2))|O-L, where O-L is the ring of algebraic integers of L, is given, and an ...

We consider locales B as algebras in the tensor category s` of sup-lattices. We show the equivalence between the Joyal-Tierney descent theorem for open localic surjections shB q −→ E in Galois theory and a Tannakian ...

Abstract Given a central simple algebra g g and a Galois extension of base rings S ∕ R S∕R, we show that the maximal ideals of twisted S ∕ R S∕R-forms of the algebra of currents g ( R ) g(R) are in natural bijection with ...