Noncommutative Polynomial Algebras of Solvable Type and Their Modules

Noncommutative Polynomial Algebras of Solvable Type and Their Modules by Huishi Li


Authors
Huishi Li
ISBN
9781032079882
Published
Binding
Hardcover
Pages
218
Dimensions
156 x 234mm

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.
289.99


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