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GOLDIE DIMENSION OF CONSTANTS OF LOCALLY NILPOTENT SKEW DERIVATIONS

JEFFREY BERGEN

Department of Mathematics, DePaul University, 2320 N. Kenmore Avenue, Chicago, Illinois 60614, USA

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and

PIOTR GRZESZCZUK

Faculty of Computer Science, Białystok University of Technology, Wiejska 45A, 15-351 Białystok, Poland

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https://doi.org/10.1142/S0219498812501058Cited by:2 (Source: Crossref)

Abstract

In this paper, we examine rings R with locally nilpotent skew derivations d and compare the Goldie dimension of R to that of the subring of constants R^d. This generalizes the situation where one compares the Goldie dimension of an Ore extension to that of the base ring. Under certain natural conditions placed upon R^d, we show that R and R^d have the same Goldie dimension.

Keywords:

AMSC: 16P60, 16S36, 16W25