Gao, Xiaoshan; Yuan, Chunming; Zhang, Guilin A Ritt-Wu’s characteristic set method for ordinary difference polynomial systems with arbitrary ordering. (English) Zbl 1199.12012 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 1063-1080 (2009). Summary: In this paper, a Ritt-Wu characteristic set method for ordinary difference systems is proposed, which is valid for any admissible ordering. A new definition for irreducible chains and new zero decomposition algorithms are also proposed. Cited in 3 Documents MSC: 12H10 Difference algebra Keywords:difference polynomial; ascending chain; characteristic set; Ritt-Wu’s zero decomposition theorem PDFBibTeX XMLCite \textit{X. Gao} et al., Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 1063--1080 (2009; Zbl 1199.12012) Full Text: DOI