Results 41 to 50 of about 2,189 (114)
On certain classes of Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 5, Page 315-321, 2001., 2001 Relations between the following classes of Galois extensions are given: (1) centrally projective Galois extensions (CP‐Galois extensions), (2) faithfully Galois extensions, and (3) H‐separable Galois extensions. Moreover, it is shown that the intersection of the class of CP‐Galois extensions and the class of faithfully Galois extensions is the class ...
George Szeto, Lianyong Xue
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On ring homomorphisms of Azumaya algebras [PDF]
, 2005 The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra of constant rank over a commutative ring to another one of the same constant rank and over a reduced commutative ring induces a ring morphism between the ...
Adjamagbo, Kossivi +2 more
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The closed socle of an Azumaya algebra [PDF]
Proceedings of the American Mathematical Society, 1980 If R is a Noetherian ring and A is an Azumaya algebra over R then an ideal H ( A ) H(A) in R, called the closed socle of A, is defined and it is shown that H ( A ) H(A) is independent of the representative A in the Brauer group of R.
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The resolution property via Azumaya algebras [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2021 Abstract Using formal-local methods, we prove that a separated and normal tame Artin surface has the resolution property. By proving that normal tame Artin stacks can be rigidified, we ultimately reduce our analysis to establishing the existence of Azumaya algebras.
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Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
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On weak center Galois extensions of rings
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 7, Page 489-495, 2001., 2001 Let B be a ring with 1, C the center of B, G a finite automorphism group of B, and BG the set of elements in B fixed under each element in G. Then, the notion of a center Galois extension of BG with Galois group G (i.e., C is a Galois algebra over CG with Galois group G|C≅G) is generalized to a weak center Galois extension with group G, where B is ...
George Szeto, Lianyong Xue
wiley +1 more source
Endomorphisms of quantized Weyl algebras
, 2010 Belov-Kanel and Kontsevich conjectured that the group of automorphisms of the n'th Weyl algebra and the group of polynomial symplectomorphisms of C^2 are canonically isomorphic.
A. Belov-Kanel +12 more
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Fortschritte der Physik, Volume 73, Issue 1-2, February 2025.Abstract S. Gukov and C. Vafa proposed a characterization of rational N=(1,1)$N=(1,1)$ superconformal field theories (SCFTs) in 1+1$1+1$ dimensions with Ricci‐flat Kähler target spaces in terms of the Hodge structure of the target space, extending an earlier observation by G. Moore.
Abhiram Kidambi +2 more
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The derived Picard group of an affine Azumaya algebra
, 2016 We describe the derived Picard group of an Azumaya algebra A on an affine scheme X in terms of global sections of the constant sheaf of integers on X, the Picard group of X, and the stabilizer of the Brauer class of A under the action of Aut(X).
Negron, Cris
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