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Details for article 16 of 68 found articles
| Title: |
Existence and Posner's Theorem for α-derivations in Prime Near-rings |
| Author: |
M. S. Samman |
| Appeared in: |
Acta mathematica Universitatis Comenianae |
| Paging: | Volume LXXVIII (2009) nr. 1 pages 37-42 |
| Year: |
2009 |
| Contents: |
In this paper we define α-derivation for near-rings and extend some results for derivations of prime rings or near-rings to a more general case for α-derivations of prime near-rings. To initiate the study of the theory, the existence of such derivation is shown by an example. It is shown that if <i>d</i> is an α-derivation of a prime near-ring <i>N</i> such that <i>d</i> commutes with α, then <i>d</i><sup>2</sup> = 0 implies <i>d</i> = 0. Also a Posner-type result on the composition of α-derivations is obtained. |
| Publisher: |
Acta Mathematica Universitatis Comenianae (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 16 of 68 found articles
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