Author: Theodorus Hermanus Maria SmitsPublisher:
ISBN:
Category : Rings (Algebra)
Languages : en
Pages : 80
Book Description
Skew Polynomial Rings and Nilpotent Derivations
Author: Theodorus Hermanus Maria SmitsPublisher:
ISBN:
Category : Rings (Algebra)
Languages : en
Pages : 80
Book Description
Derivations and Skew Polynomial Rings
Author: Michael G. VoskoglouPublisher:
ISBN:
Category :
Languages : en
Pages : 180
Book Description
Codes from Skew Polynomial Rings with Derivation
Author: Arife D. AltinPublisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 72
Book Description
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 Ans Nilpotent Derivations
Author: Theodorus Hermanus Maria SmitsPublisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Skew Polynomial Rings and Nilpotent Derivations. Proefschrift, Etc
Author: Theodorus Hermanus Maria SMITSPublisher:
ISBN:
Category :
Languages : en
Pages : 61
Book Description
Derivations on Commutative Rings and Projective Modules Over Skew Polynomial Rings
Author: J. P. R. ArcherAn Introduction to Noncommutative Noetherian Rings
Author: K. R. GoodearlPublisher: Cambridge University Press
ISBN: 9780521545372
Category : Mathematics
Languages : en
Pages : 372
Book Description
This introduction to noncommutative noetherian rings is intended to be accessible to anyone with a basic background in abstract algebra. It can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory discussion is given, and exercises are integrated throughout. This edition incorporates substantial revisions, particularly in the first third of the book, where the presentation has been changed to increase accessibility and topicality. New material includes the basic types of quantum groups, which then serve as test cases for the theory developed.
Polynomial Identities in Algebras
Author: Onofrio Mario Di VincenzoPublisher: Springer Nature
ISBN: 3030631117
Category : Mathematics
Languages : en
Pages : 421
Book Description
This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.
Prime 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.