Noncommutative Gröbner bases and filtered-graded transfer

＜図書＞
Noncommutative Gröbner bases and filtered-graded transfer

責任表示	Huishi Li
シリーズ	Lecture notes in mathematics ; 1795
データ種別	図書
出版情報	Berlin ; Tokyo : Springer , c2002
本文言語	英語
大きさ	ix, 197 p. : ill. ; 24 cm
概要	This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double fil...ered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of ("q"-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7005801

一般注記	Bibliography: p. [187]-193 Includes index
著者標目	*Li, Huishi
件　名	LCSH:Associative rings -- Data processing 全ての件名で検索 LCSH:Gröbner bases LCSH:Algebra -- Data processing 全ての件名で検索 LCSH:Filtered rings
分　類	DC21:512.24
書誌ID	1001247258
ISBN	3540441964
NCID	BA5951645X
巻冊次	ISBN:3540441964
NBN	BA274877
登録日	2009.09.18
更新日	2017.02.18