English

On the semiprime smash product question

Rings and Algebras 2015-10-02 v3

Abstract

This is a survey article on a question, posed in 1986 by M.Cohen and D.Fishman, whether the smash product A#HA\#H of a semisimple Hopf algebra and a semiprime left HH-module algebra AA is itself semiprime.

Cite

@article{arxiv.1401.1049,
  title  = {On the semiprime smash product question},
  author = {Christian Lomp},
  journal= {arXiv preprint arXiv:1401.1049},
  year   = {2015}
}

Comments

This is a revision of an already published version of this paper. I would like to thank Susan Montgomery for pointing out a severe mistake in referring to a survey article by M.Cohen from 1985 and not to the paper by M.Cohen and D.Fishman from 1986 where the central problem of this paper had been originally addressed. I also would like to thank her for the reference of the Kac-Paljutkin paper

R2 v1 2026-06-22T02:39:39.048Z