On twisted ordered monoid rings over quasi-Baer rings

  • Ahmad Ageeb
  • A. M. Hassanein
  • R. M. Salem
Keywords: quasi-Baer ring, Twisted monoid ring, Crossed product.


In this paper we show that if M is an Ordered monoid then the twisted monoid ring R^T M is (left principally) quasi-Baer if and only if R is (left principally) quasi-Baer. Also if R is (left principally) quasi-Baer and G is an ordered group acting on R we give a necessary and sufficient condition for the crossed product R∗G to be (left principally) quasi-Baer.