A Ring Associated with a Near-Ring

✍ Scribed by Kirby C Smith

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 158 KB
• Volume: 182
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1996.0173

✦ Synopsis

Let N be a right near-ring with identity such that N, q is abelian. Because N enjoys the right distributive property, every right multiplication map on N is an Ž . endomorphism of N, q . The set of all right multiplication maps on N generates Ž . a ring ‫,ޒ‬ a subring of the ring End N . The structure of ‫ޒ‬ is investigated when N is a finite simple near-ring and when N is a finite centralizer near-ring.