skew polynomial rings
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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Quasi-duo Partial skew polynomial rings
... consider rings R with a partial action α of Z on ...partial skew polynomial rings and partial skew Laurent polynomial rings to be quasi-duo rings and in this case ...
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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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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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Skew polynomial rings and overrings
... idempotents of R such that {<j>(f.) | i = are p recisely the semi p rim itive idempotents of R / J( R ) ($ being the natural s u rje c tio n ), then f.jRf.j is a primary rin g , for each i = l , . . , n . By ...
200
Nilpotent Elements in Skew Polynomial Rings
... -compatible but it is not weak ( , ) -compatible. Thus a nil- ( , ) -compatible ring is a true generalization of a weak ( , ) -compatible ring (and hence ( , ) - compatible ring). We then can find various ...
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The Some Properties of Skew Polynomial Rings
... We will show that skew polynomial ring has no Morita invariance by the counterexample, and the condition that skew polynomial ring has properties of Armendarizand quasi-Baer, and verify [r] ...
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Transparent Ore Extensions over Sigma-(∗)-rings
... In [14], Kwak also establishes a relation between a 2-primal ring and a σ( ∗ )-ring. Recall that a ring R is 2-primal if and only if N (R) = P(R), or equivalently if the prime radical is a completely semiprime ideal. ...
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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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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 partial skew Armendariz rings
... Baer rings, p.q. Baer rings, p.p-rings and quasi-Baer rings do not imply the associativity of the partial skew polynomial rings and partial skew Laurent ...
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Transparency of Polynomial Ring Over a Commutative Noetherian Ring
... In case σ is the identity map, we denote the differential operator ring R[ x ; δ] by D(R). If J is an ideal of R such that J is δ-invariant (i.e. δ(J ) ⊆ J ), then clearly J[ x ; δ] is an ideal of D(R), and we denote it ...
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On Classical Quotient Rings of Skew Armendariz Rings
... general skew polynomial rings, due to the fact that many of these quantized algebras and their representations can be expressed in terms of iterated skew polynomial ...of skew ...
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Polynomial Rings over Pseudovaluation Rings
... This article concerns the study of skew polynomial rings over PVDs. Let R be a ring and σ be an automorphism of R. We denote the skew polynomial ring R[x,σ ] by S(R). If I is an ideal ...
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Prime radical of Ore extensions over \(\delta\)-rigid rings
... including skew-polynomial rings and differential oper- ator rings have been of interest to many ...of skew polynomial rings have been dis- ...
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Skew Polynomial Extensions over Zip Rings
... the skew polynomial rings of automorphism type Rx; σ skew Laurent of polynomial Rx, x −1 ; σ are subrings of Rx; σ Rx, x −1 ; σ whose elements are ...
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On Azumaya Galois extensions and skew group rings
... H-separable skew group rings, Rings, extensions, and cohomology (New York), Lecture Notes in Pure and ..., Skew grouprings which are Azumaya, ...
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Steadiness of polynomial rings
... that polynomial rings in countably many variables over commutative noetherian rings are ...that polynomial ring T [X] is right steady, if X is countable and T is a skew field finitely ...
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Skew group rings which are Galois
... SKEW GROUP RINGS WHICH ARE GALOIS GEORGE SZETO and LIANYONG XUE Received 20 March 1998 Abstract.. Keywords and phrases.[r] ...
5
Skew Commuting Derivations of Noncommutative Prime Rings
... ∈ R or xy-d(xy) = yx-d(yx) for all x , y ∈ R , then R is commutative. V.DeFilippis [11] proved that , when R be a prime ring let d a non-zero derivation of R , U≠(0) a two-sided ideal of R , such that d([x,y])=[x,y]for ...
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