### ON STRONG FORM OF REDUCEDNESS

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Cho, Yong-Uk

• 투고 : 2007.05.25
• 발행 : 2008.03.25
• 10 3

#### 초록

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].

#### 키워드

left strongly regular near-rings;strongly reduced near-rings;periodic near-rings

#### 참고문헌

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