Téléchargez le livre : Skew PBW Extensions

Skew PBW Extensions

Ring and Module-theoretic Properties, Matrix and Gröbner Methods, and Applications de

Éditeur :

Springer


Collection :

Algebra and Applications

Paru le : 2020-12-11

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Description

This monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gröbner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin–Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.
Pages
584 pages
Collection
Algebra and Applications
Parution
2020-12-11
Marque
Springer
EAN papier
9783030533779
EAN PDF
9783030533786
Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
58
Taille du fichier
7762 Ko
Prix
137,14 €

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