Generalized Rees rings and arithmetical graded rings

DOI10.1016/0021-8693(83)90180-1zbMath0509.13016OpenAlexW1987255897MaRDI QIDQ1838527

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)90180-1

zbMATH Keywords

Picard groupclass groupBrauer groupgeneralized Rees ringsgraded Dedekind domainsgraded Krull ringgraded zeta-function

Mathematics Subject Classification ID

Graded rings and modules (associative rings and algebras) (16W50) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Picard groups (14C22) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Brauer groups of schemes (14F22) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (16)

Ore-Rees rings which are maximal orders. ⋮ Quadratic forms with values in invertible modules ⋮ Unnamed Item ⋮ Arithmetically graded rings revisited ⋮ Unnamed Item ⋮ On the Brauer group of a projective variety ⋮ Arithmetical rings ⋮ Unnamed Item ⋮ Multiplication rings and graded rings ⋮ Crossed products over arithmetically graded rings ⋮ Some constructions of rings ⋮ What is an \(\Omega\)-Krull ring? ⋮ The Jespers-Van Oystaeyen conjecture ⋮ Generalized crossed products applied to maximal orders, Brauer groups and related exact sequences ⋮ \(\Omega\)-Krull rings and Gr-\(\Omega\)-Krull rings in the non-P.I. case ⋮ A cohomological interpretation of the graded Brauer group. II

Cites Work

• Graded and filtered rings and modules
• On graded rings and modules of quotients
• Unnamed Item
• Unnamed Item

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