Abstract
The classification of integral table algebras (A, B) generated by a faithful element of degree 2 with 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 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 and they almost classified such table algebras. Here the authors continue this work but not assuming Communicated by Miriam Cohen
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