Ore extensions of Jacobson rings

JOURNAL OF ALGEBRA

卷:415

Article

Nasr-Isfahani, A. R.¹  Moussavi, A.² 

[1] Univ Isfahan, Dept Math, Esfahan, Iran

[2] Tarbiat Modares Univ, Dept Math, Tehran, Iran

关键词: Ore extension;    Jacobson ring;   

DOI  :  10.1016/j.jalgebra.2014.06.011

来源: Elsevier

【 摘 要 】

It is shown that, under suitable conditions, an Ore extension R[x; alpha] of a Jacobson ring R (i.e., a ring all of whose prime ideals are semiprimitive) with a monomorphism alpha, will be Jacobson. These conditions are satisfied by the class of rings studied by Pearson, Stephenson and Watters, and by left Noetherian rings, giving a theorem of Goldie and Michler. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free