Characteristic Modules of Dual Extensions and Grobner Bases

doi:10.1007/s10114-004-0421-4

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	Characteristic Modules of Dual Extensions and Grobner Bases
	Xu, Yun Ge 1,2; Li, Long Cai 2
	2004-11-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	20 期号:6 页码:1119-1130
摘要	Let C be a finite dimensional directed algebra over an algebraically closed field k and A = A(C) the dual extension of C. The characteristic modules of A are constructed explicitly for a class of directed algebras, which generalizes the results of Xi. Furthermore, it is shown that the characteristic modules of dual extensions of a certain class of directed algebras admit the left Grobner basis theory in the sense of E. L. Green.
关键词	Quasi-hereditary algebra Dual extension Characteristic module (Left) Grobner basis
DOI	10.1007/s10114-004-0421-4
语种	英语
资助项目	National Natural Science Foundation of China[10201004]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000208512300017
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/964
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Yun Ge
作者单位	1.Hubei Univ, Fac Math & Comp Sci, Wuhan 430062, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xu, Yun Ge,Li, Long Cai. Characteristic Modules of Dual Extensions and Grobner Bases[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2004,20(6):1119-1130.
APA	Xu, Yun Ge,&Li, Long Cai.(2004).Characteristic Modules of Dual Extensions and Grobner Bases.ACTA MATHEMATICA SINICA-ENGLISH SERIES,20(6),1119-1130.
MLA	Xu, Yun Ge,et al."Characteristic Modules of Dual Extensions and Grobner Bases".ACTA MATHEMATICA SINICA-ENGLISH SERIES 20.6(2004):1119-1130.