AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coefficients in a skewfield K is entirely determined from a commutation law between X and any element of K. Different types of commutation rules are described, with some resulting properties for Λ and its skewfield of fractions
Throughout this paper D will denote a division ring with involution *, and S = (xCDIx*=x) and K = (x...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
WOS: 000309120700006Let R be a prime ring, f(X-1, ..., X-n) a multilinear polynomial which is not ce...
AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coeffici...
SIGLETIB: RO 1945 (18) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbib...
Abstract. Let R = K[x;σ] be a skew polynomial ring over a division ring K. Necessary and sufficient ...
For an endomorphism a of a ring R., the endomorphism a is called semicommutative if ab = 0 implies a...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − b...
Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphis...
Includes bibliographical references (pages 81)In this thesis we start with some important classical ...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai...
Throughout this paper D will denote a division ring with involution *, and S = (xCDIx*=x) and K = (x...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
WOS: 000309120700006Let R be a prime ring, f(X-1, ..., X-n) a multilinear polynomial which is not ce...
AbstractThe noncommutative product in a skew power series ring Λ in an indeterminate X with coeffici...
SIGLETIB: RO 1945 (18) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische Informationsbib...
Abstract. Let R = K[x;σ] be a skew polynomial ring over a division ring K. Necessary and sufficient ...
For an endomorphism a of a ring R., the endomorphism a is called semicommutative if ab = 0 implies a...
AbstractThe paper presents two irreducibility criteria for the elements of a large class of skew-pol...
Abstract We give necessary and sufficient conditions on a ring R and an endomorphism σ of R for the ...
AbstractLet R be a ring, S a strictly ordered monoid and ω:S→End(R) a monoid homomorphism. In this p...
Let R be a ring with involution ′∗′. The skew Lie product of a, b ∈ R is defined by ∗[a, b] = ab − b...
Let R be a ring with unit elements, strictly ordered monoids, and a monoid homomorphis...
Includes bibliographical references (pages 81)In this thesis we start with some important classical ...
AbstractLet R be a ring, S a monoid and ω:S→End(R) a monoid homomorphism. In this paper we prove tha...
ABSTRACTSkew polynomial rings .are considered with a multiplication defined byx•a=a1x+a1x2+…+arxr,ai...
Throughout this paper D will denote a division ring with involution *, and S = (xCDIx*=x) and K = (x...
AbstractWe introduce a class of rings we call right Gaussian rings, defined by the property that for...
WOS: 000309120700006Let R be a prime ring, f(X-1, ..., X-n) a multilinear polynomial which is not ce...