Noncommutative Polynomial Algebras of Solvable Type and Their
Modules is the first 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
filtered-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 different kinds of elimination
orderings The computational construction of finite free resolutions
(including computation of syzygies, construction of different kinds
of finite minimal free resolutions based on computation of
different 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.
General
| Imprint: |
Taylor & Francis
|
| Country of origin: |
United Kingdom |
| Series: |
Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
| Release date: |
November 2021 |
| First published: |
2022 |
| Authors: |
Huishi Li
|
| Dimensions: |
234 x 156 x 21mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
218 |
| ISBN-13: |
978-1-03-207988-2 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
1-03-207988-6 |
| Barcode: |
9781032079882 |
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