Share
Skew Pbw Extensions: Ring and Module-Theoretic Properties, Matrix and Gröbner Methods, and Applications (in English)
William Fajardo
(Author)
·
Claudia Gallego
(Author)
·
Oswaldo Lezama
(Author)
·
Springer
· Paperback
Skew Pbw Extensions: Ring and Module-Theoretic Properties, Matrix and Gröbner Methods, and Applications (in English) - Fajardo, William ; Gallego, Claudia ; Lezama, Oswaldo
$ 132.62
$ 139.99
You save: $ 7.37
Choose the list to add your product or create one New List
✓ Product added successfully to the Wishlist.
Go to My WishlistsIt will be shipped from our warehouse between
Monday, June 10 and
Tuesday, June 11.
You will receive it anywhere in United States between 1 and 3 business days after shipment.
Synopsis "Skew Pbw Extensions: Ring and Module-Theoretic Properties, Matrix and Gröbner Methods, and Applications (in English)"
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.
