Author: Charles F. BlattnerPublisher:
ISBN:
Category :
Languages : en
Pages : 122
Book Description
Studies in Skew Polynomial Rings
Author: Charles F. BlattnerPrime Ideals in Skew and $Q$-Skew Polynomial Rings
Author: K. R. GoodearlPublisher: Oxford University Press, USA
ISBN: 9781470400989
Category : MATHEMATICS
Languages : en
Pages : 118
Book Description
There has been continued interest in skew polynomial rings and related constructions since Ore's initial studies in the 1930s. New examples not covered by previous analyses have arisen in the current study of quantum groups. The aim of this work is to introduce and develop new techniques for understanding the prime ideals in skew polynomial rings $S=R[y;\tau, \delta]$, for automorphisms $\tau$ and $\tau$-derivations $\delta$ of a noetherian coefficient ring $R$. Goodearl and Letzter give particular emphasis to the use of recently developed techniques from the theory of noncommutative noetherian rings. When $R$ is an algebra over a field $k$ on which $\tau$ and $\delta$ act trivially, a complete description of the prime ideals of $S$ is given under the additional assumption that $\tau -1 \delta \tau = q\delta$ for some nonzero $q\in k$. This last hypothesis is an abstraction of behavior found in many quantum algebras, including $q$-Weyl algebras and coordinate rings of quantum matrices, and specific examples along these lines are considered in detail.
Prime Ideals in Skew and Q-skew Polynomial Rings
Author: K. R. GoodearlPublisher: American Mathematical Soc.
ISBN: 9780821862445
Category : Mathematics
Languages : en
Pages : 120
Book Description
There has been continued interest in skew polynomial rings and related constructions since Ore's initial studies in the 1930s. New examples not covered by previous analyses have arisen in the current study of quantum groups. The aim of this work is to introduce and develop new techniques for understanding the prime ideals in skew polynomial rings $S=R[y;\tau, \delta]$, for automorphisms $\tau$ and $\tau$-derivations $\delta$ of a noetherian coefficient ring $R$. Goodearl and Letzter give particular emphasis to the use of recently developed techniques from the theory of noncommutative noetherian rings. When $R$ is an algebra over a field $k$ on which $\tau$ and $\delta$ act trivially, a complete description of the prime ideals of $S$ is given under the additional assumption that $\tau {-1 \delta \tau = q\delta$ for some nonzero $q\in k$. This last hypothesis is an abstraction of behavior found in many quantum algebras, including $q$-Weyl algebras and coordinate rings of quantum matrices, and specific examples along these lines are considered in detail.
Skew Polynomial Rings, Group Rings and Related Topics
Author: Prime Ideals in Skew and $q$-Skew Polynomial Rings
Author: K. R. GoodearlPublisher: American Mathematical Soc.
ISBN: 0821825836
Category : Mathematics
Languages : en
Pages : 118
Book Description
New methods are developed to describe prime ideals in skew polynomial rings [italic capital]S = [italic capital]R[[italic]y; [lowercase Greek]Tau, [lowercase Greek]Delta]], for automorphisms [lowercase Greek]Tau and [lowercase Greek]Tau-derivations [lowercase Greek]Delta] of a noetherian coefficient ring [italic capital]R.
Skew Polynomial Rings and Overrings
Author: J. C. WilkinsonCryptography and Coding
Author: Matthew G. ParkerPublisher: Springer Science & Business Media
ISBN: 3642108679
Category : Computers
Languages : en
Pages : 505
Book Description
The12thintheseriesofIMAConferencesonCryptographyandCodingwasheld at the Royal Agricultural College, Cirencester, December 15–17, 2009. The p- gram comprised 3 invited talks and 26 contributed talks. The contributed talks werechosenbyathoroughreviewingprocessfrom53submissions.Oftheinvited and contributed talks,28 arerepresentedaspapersin this volume. These papers are grouped loosely under the headings: Coding Theory, Symmetric Crypt- raphy, Security Protocols, Asymmetric Cryptography, Boolean Functions, and Side Channels and Implementations. Numerous people helped to make this conference a success. To begin with I would like to thank all members of the Technical Program Committee who put a great deal of e?ort into the reviewing process so as to ensure a hi- quality program. Moreover, I wish to thank a number of people, external to the committee, who also contributed reviews on the submitted papers. Thanks, of course,mustalso goto allauthorswho submitted papers to the conference,both those rejected and accepted. The review process was also greatly facilitated by the use of the Web-submission-and-review software, written by Shai Halevi of IBM Research, and I would like to thank him for making this package available to the community. The invited talks were given by Frank Kschischang, Ronald Cramer, and Alexander Pott, and two of these invitedtalksappearaspapersinthisvolume. A particular thanks goes to these invited speakers, each of whom is well-known, notonlyforbeingaworld-leaderintheir?eld,butalsofortheirparticularability to communicate their expertise in an enjoyable and stimulating manner.
Skew Polynomial Rings and Overrings
Author: Jeffrey Charles WilkinsonPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Skew Polynomial Rings and Nilpotent Derivations
Author: Theodorus Hermanus Maria SmitsPublisher:
ISBN:
Category : Rings (Algebra)
Languages : en
Pages : 80
Book Description
Skew Polynomial Rings Ans Nilpotent Derivations
Author: Theodorus Hermanus Maria SmitsPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description