Results 1 to 10 of about 98 (94)
On Hopf Galois Hirata extensions
International Journal of Mathematics and Mathematical Sciences, 2003 Let H be a finite-dimensional Hopf algebra over a field K, H* the dual Hopf algebra of H, and B a right H*-Galois and Hirata separable extension of BH. Then B is characterized in terms of the commutator subring VB(BH) of BH in B and the smash product VB ...
George Szeto, Lianyong Xue
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The Galois algebras and the Azumay Galois extensions
International Journal of Mathematics and Mathematical Sciences, 2002 Let B be a Galois algebra over a commutative ring R with Galois group G, C the center of B, K={g∈G|g(c)=c for all c∈C}, Jg{b∈B|bx=g(x)b for all x∈B} for each g∈K, and BK=(⊕∑g∈K Jg). Then BK is a central weakly Galois algebra with Galois group induced by
George Szeto, Lianyong Xue
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Homology of Azumaya algebras [PDF]
Proceedings of the American Mathematical Society, 1994 If R is a commutative k -algebra, any Azumaya R -algebra has the same Hochschild homology as R does.
Cortiñas, G., Weibel, C.
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Azumaya Algebras and Canonical Components [PDF]
International Mathematics Research Notices, 2020 AbstractLet $M$ be a compact 3-manifold and $\Gamma =\pi _1(M)$. Work by Thurston and Culler–Shalen established the ${\operatorname{\textrm{SL}}}_2({\mathbb{C}})$ character variety $X(\Gamma )$ as fundamental tool in the study of the geometry and topology of $M$.
Chinburg, Ted +2 more
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On generic G-graded Azumaya algebras [PDF]
Advances in Mathematics, 2022 Let $F$ be an algebraically closed field of characteristic zero and let $G$ be a finite group. Consider $G$-graded simple algebras $A$ which are finite dimensional and $e$-central over $F$, i.e. $Z(A)_{e} := Z(A)\cap A_{e} = F$. For any such algebra we construct a \textit{generic} $G$-graded algebra $\mathcal{U}$ which is \textit{Azumaya} in the ...
Aljadeff, E., Karasik, Y.
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Involutions of Azumaya Algebras
Documenta Mathematica, 2020 We consider the general circumstance of an Azumaya algebra A of degree n over a locally ringed topos (\mathbf{X}, \mathcal
First, Uriya A., Williams, Ben
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Azumaya algebras without involution [PDF]
Journal of the European Mathematical Society, 2018 Generalizing a theorem of Albert, Saltman showed that an Azumaya algebra A over a ring represents a 2-torsion class in the Brauer group if and only if there is an algebra A’
Auel, Asher +2 more
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Decomposition of topological Azumaya algebras [PDF]
Canadian Mathematical Bulletin, 2021 AbstractLet $\mathscr {A}$ be a topological Azumaya algebra of degree $mn$ over a CW complex X. We give conditions for the positive integers m and n, and the space X so that $\mathscr {A}$ can be decomposed as the tensor product of topological Azumaya algebras of degrees m and n.
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Axioms, 2015 The definition of Azumaya algebras over commutative rings \(R\) requires the tensor product of modules over \(R\) and the twist map for the tensor product of any two \(R\)-modules.
Bachuki Mesablishvili, Robert Wisbauer
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Journal of Algebra, 2002 The authors generalize the notions of weak crossed products and Azumaya algebras under the class title ``weakly Azumaya algebras''. Among their results is a Wedderburn principal theorem (in the case where the center is a field). Their new monoid (which actually generalizes the Brauer group) is a union of groups they call ``stalks'', in each of which ...
Haile, Darrell, Rowen, Louis
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