NONEXISTENCE OF NONZERO DERIVATIONS ON SOME CLASSES OF ZERO-SYMMETRIC 3-PRIME NEAR-RINGS

作者:Kamal A A M*; Al Shaalan Kh H
来源:Ukrainian Mathematical Journal, 2014, 66(3): 473-478.
DOI:10.1007/s11253-014-0945-4

摘要

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 %26quot;3-prime%26quot; 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-o(G) by using a different technique and a simpler proof.

  • 出版日期2014-8

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