Coalgebra actions on Azumaya algebras

DOI10.21099/tkbjm/1496161323zbMath0769.16007OpenAlexW344037251MaRDI QIDQ1173880

Akira Masuoka

Publication date: 25 June 1992

Published in: Tsukuba Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21099/tkbjm/1496161323

zbMATH Keywords

\(k\)-coalgebraAzumaya \(k\)-algebracocommutativeexact sequence of groupsinner measuringsNoether-Skolem type theorem

Mathematics Subject Classification ID

Picard groups (14C22) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Smash products of general Hopf actions (16S40)

Related Items

Hopf Galois extensions, triangular structures, and Frobenius Lie algebras in prime characteris\-tic., Structure theorems of \(H_4\)-Azumaya algebras., Existence of a unique maximal subcoalgebra whose action is inner, A Note on Inner Actions of Hopf Algebras, Hopf Algebras, Group gradings and actions of pointed Hopf algebras, On twisting of finite-dimensional Hopf algebras., A Skolem-Noether theorem for coalgebra measurings, The Brauer group of some quasitriangular Hopf algebras., The Brauer group of Sweedler’s Hopf algebra 𝐻₄