Semigroup ideal in Prime Near-Rings with Derivations
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 beha...
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College of Science for Women, University of Baghdad
2011-09-01
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| Series: | Baghdad Science Journal |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1296 |
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doaj-1b7a1d8c15f6404a99d7ba3354f553462020-11-24T21:28:35ZaraCollege of Science for Women, University of BaghdadBaghdad Science Journal2078-86652411-79862011-09-018310.21123/bsj.8.3.810-814Semigroup ideal in Prime Near-Rings with DerivationsBaghdad Science Journal 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.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1296Prime Near-ring , Semiprime Near–ring, Semigroup ideal, derivation. Mathematical Subject Classification: 16Y30 , 16W25 , 15U80. |
| collection |
DOAJ |
| language |
Arabic |
| format |
Article |
| sources |
DOAJ |
| author |
Baghdad Science Journal |
| spellingShingle |
Baghdad Science Journal Semigroup ideal in Prime Near-Rings with Derivations Baghdad Science Journal Prime Near-ring , Semiprime Near–ring, Semigroup ideal, derivation. Mathematical Subject Classification: 16Y30 , 16W25 , 15U80. |
| author_facet |
Baghdad Science Journal |
| author_sort |
Baghdad Science Journal |
| title |
Semigroup ideal in Prime Near-Rings with Derivations |
| title_short |
Semigroup ideal in Prime Near-Rings with Derivations |
| title_full |
Semigroup ideal in Prime Near-Rings with Derivations |
| title_fullStr |
Semigroup ideal in Prime Near-Rings with Derivations |
| title_full_unstemmed |
Semigroup ideal in Prime Near-Rings with Derivations |
| title_sort |
semigroup ideal in prime near-rings with derivations |
| publisher |
College of Science for Women, University of Baghdad |
| series |
Baghdad Science Journal |
| issn |
2078-8665 2411-7986 |
| publishDate |
2011-09-01 |
| description |
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. |
| topic |
Prime Near-ring , Semiprime Near–ring, Semigroup ideal, derivation. Mathematical Subject Classification: 16Y30 , 16W25 , 15U80. |
| url |
http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/1296 |
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AT baghdadsciencejournal semigroupidealinprimenearringswithderivations |
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1725969697467269120 |