Skew polynomial
On separable and \(H\)-separable polynomials in skew polynomial rings of several variables
... in skew polynomial ...H-separable polynomial in a skew polynomial ring has been charac- terized in terms of Azumaya algebras and Galois ...
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Automorphisms and isomorphisms of Jha Johnson semifields obtained from skew polynomial rings
... twisted polynomial f ∈ K[t; σ], where K = F q n is a finite field and σ an automorphism of K of order n, with a particular emphasis on inner automorphisms and the automorphisms of Sandler and Hughes-Kleinfeld ...
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Skew Polynomial Rings over Weak sigma-rigid Rings and sigma(*)-rings
... A non commutative analogue of associated prime ideals of a Noetherian ring has also been discussed. We would like to note that a considerable work has been done in the investiga- tion of prime ideals (in particular ...
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Quasi-duo Partial skew polynomial rings
... partial skew polynomial rings and partial skew Laurent polynomial rings which are ...partial skew polynomial rings to be quasi-duo and in this case we give an explicit ...
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The Some Properties of Skew Polynomial Rings
... of skew polynomial ring related to Morita invariance, Armendariz and ...that skew polynomial ring has no Morita invariance by the ...that skew polynomial ring consti- tutes ...
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Skew Polynomial Extensions over Zip Rings
... study skew polynomial extensions over zip rings by using skew versions of Armendariz rings and we generalized the results of ...Our skew versions of Armendariz rings follow the ideas of 14, ...
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Nilpotent Elements in Skew Polynomial Rings
... nil R x . This condition is strongly connected to the question of whether or not a polynomial ring R x [ ] over a nil ring R is nil, which is related to a question of Amitsur [1]. This is true for any 2-primal ...
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Skew polynomial rings and overrings
... As was seen in chapter 1, i t is possible to study several properties of the skew Laurent polynomial ring R C x ,x '\ a ] when a is an automorphism. S p e c if ic a lly , Jordan C153 found conditions under ...
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Skew-Laurent Rings over $\sigma(*)$-rings
... the skew polynomial ring (Ore extension) R [ x ; σ , δ] is the usual ring of polyno- mials with coefficients in R, in which multiplication is subject to the relation a x = x σ(a)+δ(a) for all a ∈ ...
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On separable group rings
... Recently, this fact was generalized to any separable projective group algebra RG f ([9]), and equivalent conditions were found for Galois separable skew polynomial rings and Galois cross[r] ...
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Transparency of Polynomial Ring Over a Commutative Noetherian Ring
... the skew polynomial ring R[ x ; σ, δ] is the usual set of polynomials over R with coefficients in R with respect to usual addition of polynomials and multiplication subject to the relation a x = x σ(a) + ...
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Transparent Ore Extensions over Sigma-(∗)-rings
... ideal of R such that σ(I) = I and δ(I ) ⊆ I, then O(I ) denotes I [x ; σ, δ], which is an ideal of O(R). In case δ = 0, we denote R[x ; σ] by S(R). If J is an ideal of R such that σ(J ) = J, then S(J) denotes J [x ; σ], ...
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Uniform Behaviour of the Frobenius closures of ideals generated by regular sequences
... the skew polynomial ring R[x, f] (associated to R and the Frobenius homomorphism f, in the indeterminate x) that is both x-torsion and Artinian over ...
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Associated prime ideals of weak \(\sigma\)-rigid rings and their extensions
... Bhat, Associated prime ideals of skew polynomial rings, Beitrдge Algebra Geom., Vol.. Bhat, On near-pseudo-valuation rings and their extensions, Int.[r] ...
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On characterizations of a center Galois extension
... (see [4, 5]) characterized a center Galois extension with a cyclic Galois group G of prime order in terms of a skew polynomial ring. Then, the present authors generalized the Ikehata characterization to ...
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Ore Extensions over Weak (Sigma)-rigid Rings and (sigma(*))-rings
... A non commutative analogue of associated prime ideals of a Noetherian ring has also been also discussed. We would like to note that a considerable work has been done in the inves- tigation of prime ideals (in particular ...
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Prime radical of Ore extensions over \(\delta\)-rigid rings
... R[x, δ] embeds in a right Artinian ring, where δ is a derivation of R. It is also shown in [5] that if R is a commutative Noetherian ring and σ is an automorphism of R, then the skew-polynomial ring R[x, σ] ...
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Finite nonassociative algebras obtained from skew polynomials and possible applications to (f, σ, δ) codes
... are bijective. A division algebra A does not have zero divisors. If A is a finite-dimensional algebra over F , then A is a division algebra over F if and only if A has no zero divisors. 1.2. Skew polynomial ...
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Yao
... gave skew cyclic codes defined by using the skew polynomial ring with an automorphism θ over the finite field with q ...non-commutative polynomial rings. Soon afterwards, D. Boucher et al. ...
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On Pseudo-valuation rings and their extensions
... Bhat, Associated prime ideals of skew polynomial rings, Beitr ¨ \age Algebra Geom.. Small, Embedding differential and skew-polynomial rings into artinian rings, Proc.[r] ...
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