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商品詳細
Noncommutative Polynomial Algebras of Solvable Type and Their Modules : Basic Constructive-Computational Theory and Methods.
・ISBN 978-1-032-07988-2 hard GB£ 187.99
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-003-21319-2
| 著者・編者 | Li, Huishi, |
|---|---|
| シリーズ | Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| 出版社 | (Chapman & Hall/CRC, UK) |
| 出版年月 | 2021 |
| ページ数 | 218 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7473＞ |
解説
Noncommutative Polynomial Algebras of Solvable Type and Their Modules is the ?rst book to systematically introduce the basic constructive-computational theory and methods developed for investigating solvable polynomial algebras and their modules. In doing so, this book covers:
- A constructive introduction to solvable polynomial algebras and Groebner basis theory for left ideals of solvable polynomial algebras and submodules of free modules
- The new ?ltered-graded techniques combined with the determination of the existence of graded monomial orderings
- The elimination theory and methods (for left ideals and submodules of free modules) combining the Groebner basis techniques with the use of Gelfand-Kirillov dimension, and the construction of di?erent kinds of elimination orderings
- The computational construction of ?nite free resolutions (including computation of syzygies, construction of di?erent kinds of ?nite minimal free resolutions based on computation of di?erent kinds of minimal generating sets), etc.
This book is perfectly suited to researchers and postgraduates researching noncommutative computational algebra and would also be an ideal resource for teaching an advanced lecture course.