| 书目名称 | Noncommutative Gröbner Bases and Filtered-Graded Transfer | | 编辑 | Huishi Li | | 视频video | | | 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 |
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发表于 2025-3-21 16:14:12
