书目名称 | Noncommutative Gröbner Bases and Filtered-Graded Transfer |
编辑 | Huishi Li |
视频video | http://file.papertrans.cn/668/667196/667196.mp4 |
概述 | Includes supplementary material: |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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 filtered-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. |
出版日期 | Book 2002 |
关键词 | Filtered ring; Gradedring; Groebner basis; Monomial ordering; Solvable polynomial algebra; algorithms |
版次 | 1 |
doi | https://doi.org/10.1007/b84211 |
isbn_softcover | 978-3-540-44196-0 |
isbn_ebook | 978-3-540-45765-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2002 |