$(\sigma,\tau)$-derivations on prime near rings
Ashraf, Mohammad ; Ali, Asma ; Ali, Shakir
Archivum Mathematicum, Tome 040 (2004), p. 281-286 / Harvested from Czech Digital Mathematics Library
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There is an increasing body of evidence that prime near-rings with derivations have ring like behavior, indeed, there are several results (see for example [1], [2], [3], [4], [5] and [8]) asserting that the existence of a suitably-constrained derivation on a prime near-ring forces the near-ring to be a ring. It is our purpose to explore further this ring like behaviour. In this paper we generalize some of the results due to Bell and Mason [4] on near-rings admitting a special type of derivation namely $(\sigma ,\tau )$- derivation where $\sigma ,\tau $ are automorphisms of the near-ring. Finally, it is shown that under appropriate additional hypothesis a near-ring must be a commutative ring.

Publié le : 2004-01-01
Classification:  16U70,  16W25,  16Y30 
@article{107910,
     author = {Mohammad Ashraf and Asma Ali and Shakir Ali},
     title = {$(\sigma,\tau)$-derivations on prime near rings},
     journal = {Archivum Mathematicum},
     volume = {040},
     year = {2004},
     pages = {281-286},
     zbl = {1114.16040},
     mrnumber = {2107023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/107910}
}

Ashraf, Mohammad; Ali, Asma; Ali, Shakir. $(\sigma,\tau)$-derivations on prime near rings. Archivum Mathematicum, Tome 040 (2004) pp. 281-286. http://gdmltest.u-ga.fr/item/107910/

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