A note on semiprime rings with derivation.
A Note on Skew Polynomial Rings
A note on Skolem-Noether algebras
The paper was motivated by Kovacs’ paper (1973), Isaacs’ paper (1980) and a recent paper, due to Brešar et al. (2018), concerning Skolem-Noether algebras. Let be a unital commutative ring, not necessarily a field. Given a unital -algebra , where is contained in the center of , , the goal of this paper is to study the question: when can a homomorphism be extended to an inner automorphism of ? As an application of main results presented in the paper, it is proved that if is a semilocal...
A note on the simplicity of skew polynomial rings of derivation type
À propos des théories de Galois finies et infinies
A question on the discriminants of involutions of central division algebras.
A Reduction Theorem for the Primitivity of Tensor Products.
A remark on power series rings.
A trivializability principle for local rings is described which leads to a form of weak algorithm for local semifirs with a finitely generated maximal ideal whose powers meet in zero.
A Remark on Quadratic Spaces over Noncommutative Semilocal Rings.
A Remark on tilting theory and DG algebras.
A result on vanishing derivations for commutators on right ideals.
A structure sheaf on the projective spectrum of a graded fully bounded Noetherian ring.
A theoreme on derivations in semiprime rings.
A unified approach to the Armendariz property of polynomial rings and power series rings
A ring R is called Armendariz (resp., Armendariz of power series type) if, whenever in R[x] (resp., in R[[x]]), then for all i and j. This paper deals with a unified generalization of the two concepts (see Definition 2). Some known results on Armendariz rings are extended to this more general situation and new results are obtained as consequences. For instance, it is proved that a ring R is Armendariz of power series type iff the same is true of R[[x]]. For an injective endomorphism σ of a ring...
A weak Hasse principle for central simple algebras with an involution.
Abbildungen auf Ringen insbesondere mit Involution
Abelian groups whose endomorphism ring is linearly compact
Abelian modules.
About relationship between generalized structurable algebras and Lie related triples.
Actions of Hopf algebras on fully bounded Noetherian rings.