On rings whose prime ideals are completely prime

✍ Scribed by Nam Kyun Kim; Yang Lee

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 104 KB
• Volume: 170
• Category: Article
• ISSN: 0022-4049
• DOI: 10.1016/s0022-4049(01)00148-7

✦ Synopsis

We investigate in this paper rings whose proper ideals are 2-primal. We concentrate on the connections between this condition and related concepts to this condition, and several kinds of -regularities of rings which satisfy this condition. Moreover, we add counterexamples to the situations that occur naturally in the process of this note.