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Publication Date
Sun Sep 04 2011
Journal Name
Baghdad Science Journal
Volume
8
Issue Number
3
DOI
10.21123/bsj.2011.8.3.810-814
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bsj-1296
Semigroup ideal in Prime Near-Rings with Derivations
Prime Near-ring
Semiprime Near–ring
Semigroup ideal
derivation. Mathematical Subject Classification: 16Y30
16W25
15U80.
Abdullrahman H.
Hiba A.
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In this paper we generalize some of the results due to Bell and Mason on a near-ring N admitting a derivation D , and we will show that the body of evidence on prime near-rings with derivations have the behavior of the ring. Our purpose in this work is to explore further this ring like behavior. Also, we show that under appropriate additional hypothesis a near-ring must be a commutative ring.

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