Cancellative semigroup rings which are Azumaya algebras

DOI10.1016/0021-8693(88)90108-1zbMath0658.20040OpenAlexW2050648654MaRDI QIDQ1111707

Freddy M. J. van Oystaeyen, Okniński, Jan

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90108-1

zbMATH Keywords

group of unitssemigroup ringsAzumaya algebrascancellative semigroupgroup of fractions

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Units, groups of units (associative rings and algebras) (16U60)

Related Items (3)

Azumaya semigroup algebras ⋮ Abundant semigroup algebras which are Azumaya ⋮ Semigroup algebras which are Azumaya algebras

Cites Work

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• Separable semigroup algebras
• Azumaya strongly graded rings and ray classes
• Graded PI-rings and generalized crossed product Azumaya algebras
• Separable algebras over commutative rings
• Group Rings which are Azumaya Algebras
• On the radical of semigroup algebras satisfying polynomial identities
• A note on separable integral semigroup rings
• Finite Groups with Class-Preserving outer Automorphisms

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