Prime and semiprime quantum linear space smash products
Rings and Algebras
2023-06-22 v2 Quantum Algebra
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.
Cite
@article{arxiv.1809.10713,
title = {Prime and semiprime quantum linear space smash products},
author = {Jason Gaddis},
journal= {arXiv preprint arXiv:1809.10713},
year = {2023}
}
Comments
Added exposition in introduction. Small changes throughout