Regularity of twisted partial skew generalized power series

Abstract

In this article, we work with a unital twisted partial action of a group G on a ring R. We study when the twisted partial skew generalized power series rings are Von Newman regular. Moreover, we study when the partial skew Malcev-Newman ring is simple, we provide some examples where the assumption of our principal results about Von Newman regularity can not be dropped and we discuss a conjecture given by Tuganbaev in the case of partial actions.