Nonexistence of nonzero derivations on some classes of zero-symmetric 3-prime near-rings

• Published in: Український математичний журнал
• Date: 2014
• ISSN: 1027-3190
• Main Authors: Ahmed A. M. Kamal, Khalid H. Al-Shaalan
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165987
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonexistence of nonzero derivations on some classes of zero-symmetric 3-prime near-rings / Ahmed A. M. Kamal, Khalid H. Al-Shaalan // Український математичний журнал. — 2014. — Т. 66, № 3. — С. 420–424. — Бібліогр.: 7 назв. — англ.

We give some classes of zero-symmetric 3-prime near-rings such that every member of these classes has no nonzero derivation. Moreover, we extend the concept of “3-prime” to subsets of near-rings and use it to generalize Theorem 1.1 due to Fong, Ke, and Wang concerning the transformation near-rings M...