Semigroup ideal in Prime Near-Rings with Derivations

Abdullrahman H.  Majeed; Hiba A. Ahmed

doi:10.21123/bsj.2011.8.3.810-814

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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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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. Majeed

Hiba A. Ahmed

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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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