Gelfand-Kirillov dimension of differential difference algebras
Rings and Algebras
2019-02-20 v2
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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Cite
@article{arxiv.1310.2583,
title = {Gelfand-Kirillov dimension of differential difference algebras},
author = {Yang Zhang and Xiangui Zhao},
journal= {arXiv preprint arXiv:1310.2583},
year = {2019}
}
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12 pages