We study Azumaya multiplicative graphs over a suitable base category, generalizing in this way the theory of Azumaya algebras over a ring, with or without unit, and the theory of enriched Azumaya categories. We exhibit the links with the corresponding notions of centrality, separability, Brauer group and Brauer-Taylor group
Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that ...
Categorical Galois Theory was introduced by Janelidze as a way to unify, among others, Magid’s gener...
Wir behandeln nichtkommutative Algebren über Ringen und auf algebraischen Varietäten. Im ersten Tei...
We define the notions of Azumaya category and Brauer group in category theory enriched over some ver...
AbstractWe investigate a notion of Azumaya algebras in the context of structured ring spectra and gi...
The purpose of this paper is to present certain facts and results showing a way through which simpli...
AbstractIn the theory of central simple algebras, often we are dealing with abelian groups which ari...
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of gro...
The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra o...
We investigate a notion of Azumaya algebras in the context of structured ring spectra and give a de...
Abstract. Let R be a commutative ring. An Azumaya coring consists of a couple (S, C), with S a faith...
Abstract. For an Azumaya algebra A which is free over its centre R, we prove that K-theory of A is i...
For an Azumaya algebra A which is free over its centre R, we prove that K-theory of A is isomorphic ...
The definition of Azumaya algebras over commutative rings (R) requires the tensor product of modules...
Let RG be a group ring of a group G over a ring R with 1, Z the center of G, N a normal subgroup of ...
Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that ...
Categorical Galois Theory was introduced by Janelidze as a way to unify, among others, Magid’s gener...
Wir behandeln nichtkommutative Algebren über Ringen und auf algebraischen Varietäten. Im ersten Tei...
We define the notions of Azumaya category and Brauer group in category theory enriched over some ver...
AbstractWe investigate a notion of Azumaya algebras in the context of structured ring spectra and gi...
The purpose of this paper is to present certain facts and results showing a way through which simpli...
AbstractIn the theory of central simple algebras, often we are dealing with abelian groups which ari...
We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of gro...
The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra o...
We investigate a notion of Azumaya algebras in the context of structured ring spectra and give a de...
Abstract. Let R be a commutative ring. An Azumaya coring consists of a couple (S, C), with S a faith...
Abstract. For an Azumaya algebra A which is free over its centre R, we prove that K-theory of A is i...
For an Azumaya algebra A which is free over its centre R, we prove that K-theory of A is isomorphic ...
The definition of Azumaya algebras over commutative rings (R) requires the tensor product of modules...
Let RG be a group ring of a group G over a ring R with 1, Z the center of G, N a normal subgroup of ...
Let B be a ring with 1, C the center of B, and G a finite automorphism group of B. It is shown that ...
Categorical Galois Theory was introduced by Janelidze as a way to unify, among others, Magid’s gener...
Wir behandeln nichtkommutative Algebren über Ringen und auf algebraischen Varietäten. Im ersten Tei...
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