Partial generalized crossed products and a seven-term exact sequence - ScienceDirect Skip
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We extend the classical construction by Noether of crossed product algebras, defined by
finite Galois field extensions, to cover the case of separable (but not necessarily finite or …

Firm Frobenius algebras are firm algebras and counital coalgebras such that the
comultiplication is a bimodule map. They are investigated by categorical methods based on …

Given a unital partial representation Θ of a group G into the Picard semigroup PicS (R), we
construct an abelian group C (Θ/R) formed by the isomorphism classes of generalized …

Given a non-necessarily commutative unital ring $ R $ and a unital partial representation
$\Theta $ of a group $ G $ into the Picard semigroup $\mathbf {PicS}(R) $ of the …

We prove that the classical result asserting that the relative Picard group of a faithfully flat
extension of commutative rings is isomorphic to the first Amitsur cohomology group still is …

A quite recent trend in the subject of study of generalizations of the notion of Hopf algebra
turns out to be finding the descriptions of these generalizations in a categorical framework …

The concept of a Galois extension of commutative rings was introduced by Auslander and
Goldman [1], in which they laid the foundations for separable extensions and defined the …

Given a non-necessarily commutative unital ring R and a unital partial representation Θ of a
group G into the Picard semigroup PicS (R) of the isomorphism classes of partially invertible …

Para uma extensão de Galois de anéis comutativos, Chase-Harrison-Rosenberg
construíram uma sequência exata de sete termos que envolve o grupo de Picard, o grupo …