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PRIME AND SEMIPRIME QUANTUM LINEAR SPACE SMASH PRODUCTS
Published online by Cambridge University Press: 23 July 2020
Abstract
Bosonizations of quantum linear spaces are a large class of pointed Hopf algebras that include the Taft algebras and their generalizations. We give conditions for the smash product of an associative algebra with a bosonization of a quantum linear space to be (semi)prime. These are then used to determine (semi)primeness of certain smash products with quantum affine spaces. This extends Bergen’s work on Taft algebras.
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- Research Article
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- © The Author(s), 2020. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust