A NOTE ON THE STRUCTURE OF DISTRIBUTIVE RINGS

Citation
M. Ferrero et A. Paques, A NOTE ON THE STRUCTURE OF DISTRIBUTIVE RINGS, Archiv der Mathematik, 70(2), 1998, pp. 111-117
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
ISSN journal
0003889X
Volume
70
Issue
2
Year of publication
1998
Pages
111 - 117
Database
ISI
SICI code
0003-889X(1998)70:2<111:ANOTSO>2.0.ZU;2-T
Abstract
In this paper we prove that a prime ring which is both left and right distributive and has the Jacobson radical completely prime is a pullba ck of a prime chain ring and a Jacobson semisimple left and right dist ributive domain. Under some additional assumption the converse is also true.