On the right nucleus of Petit algebras

QR Code

On the right nucleus of Petit algebras

Let D be division algebra over its center C, let σ be an endormorphism of D, let δ be a left σ-derivation of D, and let R=D[t; σ, δ] be a skew polynomial ring. We study the structure of a class of nonassociative algebras, denoted by Sf, whose construction canonically generalises that of the associat...

Full description

Bibliographic Details
Main Author:	Owen, Adam
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2022
Subjects:	Nonassociative Algebras Skew Polynomial Rings A-polynomials Central Simple Algebras Division Rings Space-time Block Codes
Online Access:	https://eprints.nottingham.ac.uk/68418/

Similar Items

The automorphisms of Petit's algebras
by: Brown, C., et al.
Published: (2017)

New classes of nonassociative divison algebras and MRD codes
by: Thompson, Daniel
Published: (2021)

Petit algebras and their automorphisms
by: Brown, Christian
Published: (2018)

Nonassociative differential extensions of characteristic p
by: Pumpluen, Susanne
Published: (2017)

Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ)-codes
by: Pumpluen, Susanne
Published: (2017)

How to obtain lattices from (f,σ,δ)-codes via a generalization of Construction A
by: Pumpluen, Susanne
Published: (2018)

The nonassociative algebras used to build fast-decodable space-time block codes
by: Pumpluen, Susanne, et al.
Published: (2015)

Skew Armendariz rings and their relations
by: Pourtaherian, Hamideh
Published: (2012)

Nonassociative cyclic extensions of fields and central simple algebras
by: Brown, C., et al.
Published: (2018)

Tensor products of nonassociative cyclic algebras
by: Pumpluen, Susanne
Published: (2016)

Interval iterative methods on simultaneous inclusion of polynomial zeros
by: Mohammad Rusli, Syaida Fadhilah
Published: (2017)

Fast-decodable MIDO codes from non-associative algebras
by: Pumpluen, Susanne, et al.
Published: (2015)

Exponential sums for some nth degree polynomial
by: Lasaraiya, Suriana
Published: (2016)

How to obtain division algebras used for fast-decodable space-time block codes
by: Pumpluen, Susanne
Published: (2014)

Parameterization of nice polynomials
by: Anton, Hozjee
Published: (2018)

Application of Computer Algebra System to Geodesy
by: Zaletnyik, P., et al.
Published: (2009)

Bornological structures on some algebraic systems
by: Imran, Anwar Nooraldeen
Published: (2018)

Classification of second-class 10-dimensional complex filiform Leibniz algebras
by: Mohd Kasim, Suzila
Published: (2014)

Classification of a subclass of filiform Leibniz algebra
by: Abdulkareem, Abdulafeez Olalekan
Published: (2014)

Central extension of low dimensional associative and Leibniz algebras
by: Ab Rahman, Nurnazhifa
Published: (2020)

Combinatorial structure associated with low-dimensional filiform leibniz algebras
by: Ahmad Jamri, Ayu Ameliatul Shahilah
Published: (2017)

Exponential sums for some higher degree polynomials
by: Low, Chee Wai
Published: (2018)

The Grobner package in Maple and computer algebra system for solving multivariate polynomial equations / Shamsatun Nahar Ahmad and Nor'aini Aris
by: Ahmad, Shamsatun Nahar, et al.
Published: (2011)

Derivations of some classes of Leibniz algebras
by: Ahmed I, Al-Nashri Al-Hossain
Published: (2013)

Classification of leibniz algebras over finite fields
by: Mohammed, Mohammed Ardo
Published: (2019)

Degenerations of low-dimensional complex Liebniz algebras
by: Mohamed, Nurul Shazwani
Published: (2023)

Automorphisms and isomorphisms of Jha-Johnson semifields obtained from skew polynomial rings
by: Brown, Christian, et al.
Published: (2018)

On tensorial absorption of the Jiang-Su algebra
by: Johanesova, Miroslava
Published: (2016)

Group actions and their applications in associative algebras and algebraic statistics
by: Mohammed, Nadia Faiq
Published: (2017)

Resource management algorithms for wavelength division multiplexing optical metro slotted ring networks
by: Mohammed Abdulrazak, Fuaad Hasan
Published: (2012)

Categorical Aspects of Algebraic Quantum Field Theory
by: Perin, Marco
Published: (2022)

Geometry of two-qubit system and hopf fibration
by: Wong, Wen Wei
Published: (2013)

An Estimation of Exponential Sums Associated with a Cubic Form Polynomial
by: Heng, Swee Huay
Published: (1999)

Estimation of multiple exponential sums associated with quartic polynomials
by: Yap, Hong Keat
Published: (2018)

Higher linear algebraic quantum field theory
by: Bruinsma, Simen
Published: (2022)

Generalized derivations and automorphisms of some classes of algebras
by: Adamu, Abdulkadir
Published: (2019)

Animation for visualization of some algebraic concepts
by: Mohammed Ismail, Abdulwahid
Published: (2003)

The description of dendriform algebra structures on two-dimensional complex space
by: M. Rikhsiboev, Ikrom, et al.
Published: (2010)

Algebraic Geodesy and Geoinformatics
by: Awange, Joseph, et al.
Published: (2010)

Silver(I)-Catalysed Synthesis of Cuneanes from Cubanes and their Investigation as Isosteres
by: Smith, Elliot J.
Published: (2024)