关键词: 经典右商环, &alpha, -Armendariz环, Jacobson根, &alpha, -Baer环, 右zip环, 右&alpha, -拟Baer环, &alpha, -p.q.-Baer环

Abstract: Some properties of skew polynomial rings are studied. It is proved that (1) If R is an αArmendariz ring, then J(R［x;α］)∩R is nil; (2) If R is an αArmendariz ring, then R is an α-Baer ring if and only if R［x;α-is an -Baer ring; (3) If R is an α-Armendariz ring and satisfies Cα condition, then R is an α-quasi-Baer ring (resp., right α-p.q.-Baer ring, right zip ring) if and only if R［x;α］ is an -quasi-Baer ring (resp.,  a right -p.q.-Baer ring, a right zip ring).

Key words: Jacobson radical, skew polynomial ring, α-Armendariz ring, classical right quotient ring, α-Baer ring, right zip ring, right αp.q.Baer ring, α-quasi-Baer ring