-
-derivations on left near-rings
Abstract
Suppose that
is a near-ring and
is a
-prime ideal of
. In this paper we introduce the notion of
-
derivation in near-rings, we also study the structure of the quotient near-ring
which satisfies certain algebraic identities involving
-
derivations.
![\mathcal{N}](http://212.189.136.205/plugins/generic/latexRender/cache/4bd01f4a6739d95ec7743e82072870d7.png)
![P](http://212.189.136.205/plugins/generic/latexRender/cache/44c29edb103a2872f519ad0c9a0fdaaa.png)
![3](http://212.189.136.205/plugins/generic/latexRender/cache/eccbc87e4b5ce2fe28308fd9f2a7baf3.png)
![\mathcal{N}](http://212.189.136.205/plugins/generic/latexRender/cache/4bd01f4a6739d95ec7743e82072870d7.png)
![(\alpha, \tau )](http://212.189.136.205/plugins/generic/latexRender/cache/359986479a019039977c6dabe63ce723.png)
![P](http://212.189.136.205/plugins/generic/latexRender/cache/44c29edb103a2872f519ad0c9a0fdaaa.png)
![\mathcal{N}/P](http://212.189.136.205/plugins/generic/latexRender/cache/4caef230843c4925c5a269fdbef37594.png)
![(\alpha, \tau )](http://212.189.136.205/plugins/generic/latexRender/cache/359986479a019039977c6dabe63ce723.png)
![P](http://212.189.136.205/plugins/generic/latexRender/cache/44c29edb103a2872f519ad0c9a0fdaaa.png)
DOI Code:
10.1285/i15900932v42n2p93
Keywords:
Near-rings; Prime ideals; (alfa,tau)-derivations; Commutativity
Full Text: PDF