## Abstract

The classification of integral table algebras (A, B) generated by a faithful element of degree 2 with (Formula presented.) was completed by Blau in 1995. After that, it is an interesting topic to classify integral table algebras generated by a faithful non-real element of degree 3 with (Formula presented.) But it is difficult, so Arad and Chen et al. in 2005 and 2011 studied normalized integral table algebras generated by a faithful non-real element of degree 3 by assuming (Formula presented.) and (Formula presented.) they almost classified such table algebras. Here the authors continue this work but not assuming (Formula presented.) Communicated by Miriam Cohen.

Original language | English |
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Pages (from-to) | 2315-2345 |

Number of pages | 31 |

Journal | Communications in Algebra |

Volume | 48 |

Issue number | 6 |

DOIs | |

State | Published - 2 Jun 2020 |

### Bibliographical note

Publisher Copyright:© 2020, © 2020 Taylor & Francis Group, LLC.

## Keywords

- 05E10
- 05E30
- 13A99
- Classification
- integral
- normalized
- table algebra