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Hopf Order Module Algebra Orders
Book chapter

Hopf Order Module Algebra Orders

Farahat S Aly and Freddy Van Oystaeyen
Hopf Algebras in Noncommutative Geometry and Physics, pp.21-30
CRC Press, 1
2005

Abstract

Hopf Algebra Structure Hopf Algebra Brauer Group Coquasitriangular Hopf Algebra Family FR QF Ring Group Algebra Kg Weak Bialgebra Monoidal Functors Hopf Subalgebra Maximal Ideal quasi-Hopf Algebras Strict Monoidal Category Quaternion Algebra Order Discrete Valuation Ring Module algebra Morita Context Valuation Ring Quadratic Algebras Frobenius Extension valuation Finite Dimensional Hopf Algebra Sweedler Notation Azumaya Algebra Braided Hopf Algebra Hopf Algebroids Ordinary Hopf Algebra
We aim to study a theory for orders in Hopf module algebras with respect to their behaviour under actions by Hopf orders induced from the given action. The technique of Hopf filtrations and Hopf valuations play a central role

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