On centralizers of semiprime rings
Let be a semiprime ring and an additive mapping such that holds for all . Then is a left centralizer of . It is also proved that Jordan centralizers and centralizers of coincide.
On certain classes of Galois extensions of rings.
On characterizations of a center Galois extension.
On classical quotient rings of skew Armendariz rings.
On coalgebras and linearly topological rings
On commutation relations for 3-graded Lie algebras.
On computation of minimal free resolutions over solvable polynomial algebras
Let be a (noncommutative) solvable polynomial algebra over a field in the sense of A. Kandri-Rody and V. Weispfenning [Non-commutative Gröbner bases in algebras of solvable type, J. Symbolic Comput. 9 (1990), 1–26]. This paper presents a comprehensive study on the computation of minimal free resolutions of modules over in the following two cases: (1) is an -graded algebra with the degree-0 homogeneous part ; (2) is an -filtered algebra with the filtration determined by a positive-degree...
On dependent elements in rings.
On derivations and commutativity in prime rings.
On derivations over rings of triangular matrices
On endomorphism algebras of separable monoidal functors.
On equivalence of graded rings.
On Flatness and Projectivity of a Ring as a Module over a Fixed Subring.
On Free Quadratic Extensions of Rings.
On free ring extensions of degree n.
On functional inequalities originating from module Jordan left derivations.
On -disconnected injective models
Let be a finite group. It was observed by L.S. Scull that the original definition of the equivariant minimality in the -connected case is incorrect because of an error concerning algebraic properties. In the -disconnected case the orbit category was originally replaced by the category with one object for each component of each fixed point simplicial subsets of a -simplicial set , for all subgroups . We redefine the equivariant minimality and redevelop some results on the rational homotopy...
On Galois descent for Hochschild and cyclic homology.
On Galois projective group rings.
On Galois skew polynomial rings with inner Galois groups