AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-polynomial rings. The proofs rely heavily on non-commutative valuations and extensions thereof. The results apply, in particular, to ordinary linear differential operators and linear difference operators having coefficients in not-necessarily-commutative fields with valuations
summary:Let $R$ be a prime ring of characteristic different from 2, $Q_r$ its right Martindale quoti...
summary:Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$. In this manuscrip...
AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coeffici...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
Let D be a unital associative division ring and D[t, ?, ?] be a skew polynomial ring, where ? is an ...
ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai...
Since being introduced by Oystein Ore in his 1933 paper, “Theory of Non-Commutative Polynomials” [6]...
Let D be a finite-dimensional division algebra over its center and R=D[t;?,?] a skew polynomial ring...
AbstractEfficient algorithms are presented for factoring polynomials in the skew-polynomial ringF[x;...
In the present paper, we investigate the commutativity of a prime Banach algebra with skew derivatio...
The product formula for evaluating products of skew polynomials is used to construct a class of ring...
We introduce the notion of semi-characteristic polynomial for a semi-linear map of a finite- dimensio...
Abstract. Let R = K[x;σ] be a skew polynomial ring over a division ring K. Necessary and sufficient ...
The aim of this thesis is to study the extension of valuations in skew field extensions. In Chapt...
A wide class of skew derivations on degree-one generalized Weyl algebras R(a, φ) over a ring R is co...
summary:Let $R$ be a prime ring of characteristic different from 2, $Q_r$ its right Martindale quoti...
summary:Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$. In this manuscrip...
AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coeffici...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
Let D be a unital associative division ring and D[t, ?, ?] be a skew polynomial ring, where ? is an ...
ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai...
Since being introduced by Oystein Ore in his 1933 paper, “Theory of Non-Commutative Polynomials” [6]...
Let D be a finite-dimensional division algebra over its center and R=D[t;?,?] a skew polynomial ring...
AbstractEfficient algorithms are presented for factoring polynomials in the skew-polynomial ringF[x;...
In the present paper, we investigate the commutativity of a prime Banach algebra with skew derivatio...
The product formula for evaluating products of skew polynomials is used to construct a class of ring...
We introduce the notion of semi-characteristic polynomial for a semi-linear map of a finite- dimensio...
Abstract. Let R = K[x;σ] be a skew polynomial ring over a division ring K. Necessary and sufficient ...
The aim of this thesis is to study the extension of valuations in skew field extensions. In Chapt...
A wide class of skew derivations on degree-one generalized Weyl algebras R(a, φ) over a ring R is co...
summary:Let $R$ be a prime ring of characteristic different from 2, $Q_r$ its right Martindale quoti...
summary:Let $R$ be a prime ring with center $Z$ and $I$ be a nonzero ideal of $R$. In this manuscrip...
AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coeffici...
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