Azumaya semigroup algebras

DOI10.1007/s40840-015-0208-zzbMath1357.20032OpenAlexW1168090038MaRDI QIDQ310706

Xiao Jiang Guo

Publication date: 8 September 2016

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0208-z

zbMATH Keywords

Azumaya algebrasemigroup algebra(almost) idempotent-free semigroup

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

Abundant semigroup algebras which are Azumaya, Semiprimeness of semigroup algebras, An Ehresmann-Schein-Nambooripad-type theorem for a class of \(P\)-restriction semigroups, Semigroup algebras which are Azumaya algebras

Cites Work

• The nilpotency of the radical in a finitely generated P.I. ring
• Separable semigroup algebras
• Azumaya strongly graded rings and ray classes
• Graded PI-rings and generalized crossed product Azumaya algebras
• Cancellative semigroup rings which are Azumaya algebras
• Separable algebras over commutative rings
• Group Rings which are Azumaya Algebras
• A note on separable integral semigroup rings
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