Author:
Ferrero Miguel,Sant’Ana Alveri
Abstract
AbstractThe class of rings studied in this paper properly contains the class of right distributive rings which have at least one completely prime ideal in the Jacobson radical. Amongst other results we study prime and semiprime ideals, right noetherian rings with comparability and prove a structure theorem for rings with comparability. Several examples are also given.
Publisher
Canadian Mathematical Society
Cited by
5 articles.
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1. On Annelidan, Distributive, and Bézout Rings;Canadian Journal of Mathematics;2019-05-03
2. RightP-Comparable Semigroups;Communications in Algebra;2013-04-22
3. On semiprime segments of rings;Journal of the Australian Mathematical Society;2006-04
4. Comparizer Ideals of Rings;Communications in Algebra;2004-12-31
5. On distributive modules and rings;Results in Mathematics;2003-08