Crossed products over arithmetically graded rings

DOI10.1016/0021-8693(83)90009-1zbMath0508.16002OpenAlexW2076571641MaRDI QIDQ1837748

Freddy M. J. van Oystaeyen

Publication date: 1983

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(83)90009-1

zbMATH Keywords

Galois extensionAzumaya algebrashomogeneous elementsgraded Azumaya algebrageneralized Rees ringsgraded Brauer groupZ-graded ringgraded fielddiscrete Gr-valuation ringGr-local-valuation domainsgraded Galois extension

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Brauer groups of schemes (14F22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (8)

Divisorially graded rings, related groups, and sequences ⋮ Le gradué d’une algèbre à division valuée ⋮ Unnamed Item ⋮ A cohomological interpretation of the graded brauer group I ⋮ Krull dimension of generalized Weyl algebras and iterated skew polynomial rings: Commutative coefficients ⋮ Some constructions of rings ⋮ A cohomological interpretation of the graded Brauer group. II ⋮ On Brauer groups of graded Krull domains and positively graded rings

Cites Work

• Graded and filtered rings and modules
• On the Brauer group of a projective curve
• Prime spectra in non-commutative algebra
• Generalized Rees rings and arithmetical graded rings
• Théorie de la descente et algèbres d'Azumaya
• Separable algebras over commutative rings
• The Brauer Group of a Commutative Ring
• On brauer groups of arithmetical graded rings
• On graded rings and modules of quotients
• Maximal Orders
• On Maximally Central Algebras
• On the Picard group of a Grothendieck category
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