EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 39(53), pp. 79--82 (1986)

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EXTENDING DERIVATIONS AND ENDOMORPHISMS TO SKEW POLYNOMIAL RINGS

Michael G. Voskoglou

Institute of Technological Education, Patras, Greece

Abstract: We treat the problem of extending derivations and endomorphisms of a given ring $R$ to a skew polynomial ring $R[x,f,d]$ over $R$. As an application we obtain the general conditions for the existence of such rings in finitely many variables over $R$. We also prove that under suitable conditions, the $d$ (or the $f$)-simplicity of $R$ implies the $f$-simplicity of $R[x,f,d]$.

Classification (MSC2000): 16A05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

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