Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON STRONG FORM OF REDUCEDNESS

  • Cho, Yong-Uk (Department of Mathematics, Silla University)
  • Received : 2007.05.25
  • Published : 2008.03.25
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Abstract

A near-ring N is said to be strongly reduced if, for a ${\in}$ N, $a^2{\in}N_c$ implies $a{\in}N_c$, where $N_c$ denotes the constant part of N. We investigate some properties of strongly reduced near-rings and apply those to the study of left strongly regular near-rings. Finally we classify all reduced and strongly reduced near-rings of order ${\leq}$ 7 using the description given in J. R. Clay [1].

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References

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