The aim of the talk is to review and compare some old and recent results on PI Ore extensions. A special attention will be paid to iterated Ore extensions which appear naturally in the context of quantum algebras.

Usando a noção de preunidade introduzida por Caenepeel and De Groot, apresentamos uma noção geral de produto cruzado num contexto débil, a qual generaliza as definidas por Blattner, Cohen e Montgomery, Doi e Takeuchi para álxebras de Hopf e a mais geral obtida por Brzezi\'{n}ski. Também, os...

Let K be a field of positive characteristic p and KG the group algebra of a group G. It is known that if KG is Lie nilpotent then its upper (or lower) Lie nilpotency index is at most |G'|+1, where |G'| is the order of the commutator subgroup. The class of groups G for which these indices are ...

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