Gröbner bases in ring theory

Gröbner bases in ring theory / Huishi Li.

This monograph strives to introduce a solid foundation on the usage of Gröbner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K. It also reveals the intrinsic structural properties of Gröbner bases, presents a constructive PBW theory in a...

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Bibliographic Details
Main Author: Li, Huishi
Format: eBook
Language:English
Published: Singapore : World Scientific, ©2012.
Subjects:
Gröbner bases.
Rings (Algebra)
Gröbner bases
Computeralgebra
Gröbner-Basis
Ringtheorie
Online Access:Click for online access
Table of Contents:
  • Introduction
  • 1. Preliminaries
  • 2. The [gamma]-leading homogeneous algebra A[gamma][subscript LH]
  • 3. Gröbner bases: conception and construction
  • 4. Gröbner basis theory meets PBW theory
  • 5. Using A[beta][subscript LH] in terms of Gröbner bases
  • 6. Recognizing (non- )homogeneous [rho]-Koszul via A[beta][subscript LH]
  • 7. A study of Rees algebra by Gröbner bases
  • 8. Looking for more Gröbner bases.

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