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.

Keywords:

• Artinian and narrow set
• twisted partial action
• twisted partial skew generalized power series rings
• Von Neumann regular ring

2020 Mathematics Subject Classification:

• 16W22
• 16S35
• 16P20
• 16F10
• 16L30

Additional information

Funding

The second named author was partially supported by CAPES.