Results 241 to 250 of about 42,411 (276)

Separable polynomials in skew polynomials rings

2019
Separable polynomials in skew polynomial rings have already been studied by K. Kishimoto, T. Nagahara, Y. Miyashita, S. Ikehata, and G. Szeto. In particular, Nagaraha gave the necessary and sufficient condition for Galois polynomial of degree 2 in the skew polynomial ring of derivation type. In this paper, we shall introduce some fundamental results of
openaire   +1 more source

Skew Polynomial Rings Satisfying a Polynomial Identity

2002
In this short appendix, we prove a result of Jondrup on the PI degree of skew polynomial algebras in characteristic 0, and illustrate its relevance in the settings of interest in these notes. Exceptionally, we make use in this section of a few lemmas from Part II.
Ken A. Brown, Ken R. Goodearl
openaire   +1 more source

Cancellation in skew polynomial rings

Communications in Algebra, 2017
A well known cancellation result in commutative algebra states that if B[x]≅K[x1,x2] then B≅K[x1], where B is an algebra over a field K of characteristic 0.
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Radicals of skew polynomial rings and skew Laurent polynomial rings

2016
Let K be a ring, \(\rho\) an automorphism of K, and D a derivation of K. We denote by K[X;\(\rho\) ] (resp. \(K\), resp. K[X;D]) the skew polynomial ring of automorphism type (resp. skew Laurent polynomial ring; resp. skew polynomial ring of derivation type) over K. In [\textit{S. S. Bedi}, \textit{J. Ram}, Isr. J. Math.
openaire   +2 more sources

Survival outcomes used to validate version 9 of the American Joint Committee on Cancer staging system for appendiceal cancer

Ca-A Cancer Journal for Clinicians, 2023
Elliot A Asare
exaly  

Free groups in a normal subgroup of the field of fractions of a skew polynomial ring

, 2017
J. Gonçalves
semanticscholar   +1 more source

Catalytic Enantioselective Ring-Opening Reactions of Cyclopropanes

Chemical Reviews, 2021
Vincent Pirenne, Bastian Muriel, Jerome Waser   +2 more
exaly  

Material properties and applications of mechanically interlocked polymers

Nature Reviews Materials, 2021
Laura F Hart, Jerald E Hertzog, Phillip M Rauscher   +2 more
exaly  

AROUND HOMOMORPHISM BETWEEN QUATERNION AND SKEW POLYNOMIAL RING

, 2016
A. K. Amir
semanticscholar   +1 more source

Chemical recycling to monomer for an ideal, circular polymer economy

Nature Reviews Materials, 2020
Geoffrey W Coates, Yutan D Y L Getzler
exaly