Skew PBW Extensions is popular PDF and ePub book, written by William Fajardo in 2020-12-11, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Skew PBW Extensions can be Read Online from any device for your convenience.
Skew PBW Extensions Book PDF Summary
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.
Detail Book of Skew PBW Extensions PDF
- Author : William Fajardo
- Release : 11 December 2020
- Publisher : Springer Nature
- ISBN : 9783030533786
- Genre : Mathematics
- Total Page : 584 pages
- Language : English
- PDF File Size : 10,6 Mb
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