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Nilpotent Elements in Skew Polynomial Rings [PDF]
Journal of Sciences, Islamic Republic of Iran, 2017 Letbe a ring with an endomorphism and an -derivationAntoine studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings.
M. Azimi, A. Moussavi
doaj
Prime Ideals and Strongly Prime Ideals of Skew Laurent Polynomial Rings
International Journal of Mathematics and Mathematical Sciences, 2008 We first study connections between α-compatible ideals of R and related ideals of the skew Laurent polynomials ring R[x,x−1;α], where α is an automorphism of R.
E. Hashemi
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Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x;σ], where σ is an endomorphism of R satisfying σ(e)=e for all e∈E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li
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Quasi-duo skew polynomial rings
Journal of Pure and Applied Algebra, 2008 A characterization of right (left) quasi-duo skew polynomial rings of endomorphism type and skew Laurent polynomial rings are given. In particular, it is shown that (1) the polynomial ring R[x] is right quasi-duo iff R[x] is commutative modulo its Jacobson radical iff R[x] is left quasi-duo, (2) the skew Laurent polynomial ring is right quasi-duo iff ...
Leroy, André +2 more
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Angewandte Chemie, EarlyView.Color‐pure all‐organic emitters, i.e., with narrow spectral characteristics, are intensively studied for high‐definition organic LEDs and multi‐color bioimaging. In order to guide targeted materials design, this educative review discusses spectral characteristics, proper definitions and units, and the physical basis of spectral broadening, to distill ...
Johannes Gierschner +6 more
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Semifields from skew polynomial rings [PDF]
advg, 2013 Abstract Skew polynomial rings are used to construct finite semifields, following from a construction of Ore and Jacobson of associative division algebras. Johnson and Jha [10] constructed the so-called cyclic semifields, obtained using irreducible semilinear transformations.
LAVRAUW, MICHEL, SHEEKEY, JOHN FRANCIS
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Uniserial Rings and Skew Polynomial Rings
Tokyo Journal of Mathematics, 1984 If \(\tau\) is an automorphism of a division ring D then, for each positive integer c, the factor ring \(S/x^ cS\) of the skew polynomial ring \(S=D[x;\tau]\) is a local uniserial ring of split type. The purpose of this paper is to establish a necessary and sufficient condition on a local uniserial ring R for R to be isomorphic to a ring of the above ...
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Indagationes Mathematicae (Proceedings), 1968 ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai∈K,where K is a (skew) field and the ai depend on a ∈ K. Under certain conditions the rings appear to be non-commutative principal ideal rings with a unique factorization.
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British Journal of Mathematics & Computer Science, 2015 DOI: 10.9734/BJMCS/2015/18665 Editor(s): (1) Sergio Serrano, Department of Applied Mathematics, University of Zaragoza, Spain. Reviewers: (1) Arvid Siqveland, Buskerud Vestfold University College, Norway. (2) Piyush Shroff, Mathematics, Texas State University, USA. (3) Francisco Bulnes, Department in Mathematics And Engineering, Tecnologico De Estudios,
W. Fakieh, S. Nauman
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On Weakly Separable Polynomials in Skew Polynomial Rings
Mathematical Journal of Okayama University, 2022 15 pages. Author's accepted manuscript of the article published in Math. J. Okayama Univ.
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