This paper gives some results on Strong-Armendariz rings and the Ore-extensions R[x,x^-1;α] of Bare, PP and PS rings. And the main two results are： （1） R is a Bear （PP） ring if and only if R[[x]] is a Baer （PP...This paper gives some results on Strong-Armendariz rings and the Ore-extensions R[x,x^-1;α] of Bare, PP and PS rings. And the main two results are： （1） R is a Bear （PP） ring if and only if R[[x]] is a Baer （PP） ring; （2） If R is an α-rigid ring, then R is a Baer （PP, PS） ring if and only if R[x, x^-1; α] is a Baer （PP, PS） ring.展开更多
We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained....We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained. With these rings, we characterize seinisiinple rings. Finally, we introduce MC2 rings, and give some characterizations of MC2 rings.展开更多
基金the Program for New Century Excellent Talents in University(04-0522),and the National Natural Science Foundation of China(10571153)
文摘This paper gives some results on Strong-Armendariz rings and the Ore-extensions R[x,x^-1;α] of Bare, PP and PS rings. And the main two results are： （1） R is a Bear （PP） ring if and only if R[[x]] is a Baer （PP） ring; （2） If R is an α-rigid ring, then R is a Baer （PP, PS） ring if and only if R[x, x^-1; α] is a Baer （PP, PS） ring.
基金Project supported by the Foundation of Natural Science of China (19971073)the Natural Science Foundation of Jiangsu Province
文摘We study these rings with every minimal left ideal being a projective, direct summand and a p-injective module, respectively. Some characterizations of these rings are given, and the relations among them are obtained. With these rings, we characterize seinisiinple rings. Finally, we introduce MC2 rings, and give some characterizations of MC2 rings.
