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Structure of certain near-rings

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dc.contributor.authorQuadri, Murtaza A.
dc.contributor.authorAshraf, Mohd.
dc.contributor.authorAli, Asma
dc.date.accessioned2011-06-09T08:22:45Z
dc.date.available2011-06-09T08:22:45Z
dc.date.issued1992
dc.description.abstractRecentemente Ligh e Luh $\left[6\right]$ hanno trovato una scomposizione in somma diretta per gli anelli che hanno la proprietà $\left(xy\right)^{n\left(x,y\right)}=xy$ usando la commutatività di questi anelli provata da Searcòid e MacHale $\left[8\right]$. In questo lavoro si continua questo studio e si ottiene una scomposizione per i quasi-anelli che hanno una qualunque delle proprietà $\left(i\right)\left(xy\right)^{n\left(x,y\right)}=xy\left(ii\right)x^{n\left(x,y\right)}y^{m\left(xy\right)}=xy$ e $\left(iii\right)y^{m\left(xy\right)}x^{n\left(x,y\right)}=xy$
dc.description.abstractUsing commutativity of rings satisfying $\left(xy\right)^{n\left(x,y\right)}=xy$ proved by Searcòid e MacHale $\left[8\right]$, recently Ligh and Luh $\left[6\right]$ have given-direct sum decomposition for rings with the mentioned condition. More recently Bell and Ligh $\left[3\right]$ sharpened this result and also established a structure of the near-rings satisfying $\left(xy\right)^{n\left(x,y\right)}=yx$. In the present paper we continue these investigations and obtain decomposition for near-rings satisfying any of the conditions $\left(i\right)\left(xy\right)^{n\left(x,y\right)}=xy\left(ii\right)x^{n\left(x,y\right)}y^{m\left(xy\right)}=xy$ and $\left(iii\right)y^{m\left(xy\right)}x^{n\left(x,y\right)}=xy$.
dc.identifier.citationMurtaza A. Quadri, Mohd. Ashraf, Asma Ali, “Structure of certain near-rings”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 24 (1992), pp. 161-167.it_IT
dc.identifier.issn0049-4704
dc.identifier.urihttp://hdl.handle.net/10077/4766
dc.language.isoenit_IT
dc.publisherUniversità degli Studi di Trieste. Dipartimento di Scienze Matematicheit_IT
dc.relation.ispartofseriesRendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematicsit_IT
dc.relation.ispartofseries24 (1992)it_IT
dc.titleStructure of certain near-ringsit_IT
dc.typeArticle
dspace.entity.typePublication
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Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.24 (1992)