Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584744 | Journal of Algebra | 2014 | 13 Pages |
Abstract
It is shown that, under suitable conditions, an Ore extension R[x;α] of a Jacobson ring R (i.e., a ring all of whose prime ideals are semiprimitive) with a monomorphism α, 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. R. Nasr-Isfahani, A. Moussavi,