![Skew PBW Extensions : Ring and Module-theoretic Properties, Matrix and Grobner Methods, and Applications, Hardback Book Skew PBW Extensions : Ring and Module-theoretic Properties, Matrix and Grobner Methods, and Applications, Hardback Book](http://hive.dmmserver.com/media/640/97830305/9783030533779.jpg)
Skew PBW Extensions : Ring and Module-theoretic Properties, Matrix and Grobner Methods, and Applications Hardback
by William Fajardo, Claudia Gallego, Oswaldo Lezama, Armando Reyes, Hector Suarez, Helbert Venegas
Part of the Algebra and Applications series
Hardback
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.
Information
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Out of stock
- Format:Hardback
- Pages:584 pages, XV, 584 p.
- Publisher:Springer Nature Switzerland AG
- Publication Date:12/12/2020
- Category:
- ISBN:9783030533779
Other Formats
- PDF from £93.08
- Paperback / softback from £109.99
Information
-
Out of stock
- Format:Hardback
- Pages:584 pages, XV, 584 p.
- Publisher:Springer Nature Switzerland AG
- Publication Date:12/12/2020
- Category:
- ISBN:9783030533779