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arXiv · 1310.2583

Gelfand-Kirillov dimension of differential difference algebras

Yang Zhang·Xiangui Zhao
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Abstract

Differential difference algebras were introduced by Mansfield and Szanto, which arose naturally from differential difference equations. In this paper, we investigate the Gelfand-Kirillov dimension of differential difference algebras. We give a lower bound of the Gelfand-Kirillov dimension of a differential difference algebra and a sufficient condition under which the lower bound is reached; we also find an upper bound of this Gelfand-Kirillov dimension under some specific conditions and construct an example to show that this upper bound can not be sharpened any more.

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Yang Zhang, Xiangui Zhao. 2013-10-09. Gelfand-Kirillov dimension of differential difference algebras. https://doi.org/10.1112/s1461157014000102

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