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Gelfand–Kirillov dimension of differential difference algebras
- Source :
- LMS Journal of Computation and Mathematics. 17:485-495
- Publication Year :
- 2014
- Publisher :
- Wiley, 2014.
-
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.<br />Comment: 12 pages
- Subjects :
- Pure mathematics
General Mathematics
Mathematics::Rings and Algebras
010102 general mathematics
Differential difference equations
Mathematics - Rings and Algebras
0102 computer and information sciences
General Medicine
010103 numerical & computational mathematics
Difference algebra
01 natural sciences
Upper and lower bounds
Algebra
Computational Theory and Mathematics
Dimension (vector space)
Rings and Algebras (math.RA)
010201 computation theory & mathematics
16P90, 16S36
Gelfand–Kirillov dimension
FOS: Mathematics
0101 mathematics
Mathematics::Representation Theory
Differential (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 14611570
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- LMS Journal of Computation and Mathematics
- Accession number :
- edsair.doi.dedup.....f7117ab96b14082a9cbd29015300aa3d