Skew PBW Extensions - Ring and Module-theoretic Properties, Matrix and Groebner Methods, and Applications (Hardcover, 1st ed. 2020)

This monograph is devoted to a new class of non-commutative rings, skew Poincare-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 Groebner 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.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	Algebra and Applications, 28
Release date:	December 2020
First published:	2020
Authors:	William Fajardo • Claudia Gallego • Oswaldo Lezama • Armando Reyes • Hector Suarez • Helbert Venegas
Dimensions:	235 x 155mm (L x W)
Format:	Hardcover
Pages:	584
Edition:	1st ed. 2020
ISBN-13:	978-3-03-053377-9
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis Books > Science & Mathematics > Mathematics > Mathematical foundations > General Books > Science & Mathematics > Mathematics > Algebra > General Promotions
LSN:	3-03-053377-8
Barcode:	9783030533779

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!