Hochschild Cohomology Ring of an Order of a Simple Component of the Rational Group Ring of the Generalized Quaternion Group

DOI10.1080/00927870802070330zbMath1148.16008OpenAlexW2124309891MaRDI QIDQ3514797

Takao Hayami

Publication date: 23 July 2008

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

Full work available at URL: https://doi.org/10.1080/00927870802070330

zbMATH Keywords

ordersquaternion algebrasHochschild cohomology ringsbimodule projective resolutionsYoneda products

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Cites Work

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• On the deformation of rings and algebras. II
• On the deformation of rings and algebras. III
• On the deformation of rings and algebras
• On the cohomology groups of an associative algebra
• Derived Equivalences As Derived Functors
• COHOMOLOGY RING OF THE GENERALIZED QUATERNION GROUP WITH COEFFICIENTS IN AN ORDER
• On the hochschild cohomology of crossed products

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