Algorithmic Methods in Non Commutative Algebra is popular PDF and ePub book, written by J.L. Bueso in 2013-03-09, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Algorithmic Methods in Non Commutative Algebra can be Read Online from any device for your convenience.
Algorithmic Methods in Non Commutative Algebra Book PDF Summary
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.
Detail Book of Algorithmic Methods in Non Commutative Algebra PDF
- Author : J.L. Bueso
- Release : 09 March 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401702850
- Genre : Computers
- Total Page : 307 pages
- Language : English
- PDF File Size : 16,8 Mb
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