Generalized Morita equivalence for linearly topologized rings
Generalized reverse derivations and commutativity of prime rings
Let be a prime ring with center and a nonzero right ideal of . Suppose that admits a generalized reverse derivation such that . In the present paper, we shall prove that if one of the following conditions holds: (i) , (ii) , (iii) , (iv) , (v) , (vi) for all , then is commutative.
Generators for the divided powers algebra of an algebra and trace identities
Generic 2 x 2 Matrices with involution.
Global Dimension of Differential Operator Rings. IV - Simple Modules.
Global structure of the mod two symmetric algebra, over the Steenrod Algebra.
Graded algebra automorphisms.
Graded blocks of group algebras with dihedral defect groups
We investigate gradings on tame blocks of group algebras whose defect groups are dihedral. For this subfamily of tame blocks we classify gradings up to graded Morita equivalence, we transfer gradings via derived equivalences, and we check the existence, positivity and tightness of gradings. We classify gradings by computing the group of outer automorphisms that fix the isomorphism classes of simple modules.
Graded modules and their completions
Graded modules over G-sets II.
Graded-commutativity of the Yoneda product of Hopf bimodules.
Grothendieck groups of invariant ring: linear actions of finite groups.
Group algebras with centrally metabelian unit groups.
Given a field K of characteristic p > 2 and a finite group G, necessary and sufficient conditions for the unit group U(KG) of the group algebra KG to be centrally metabelian are obtained. It is observed that U(KG) is centrally metabelian if and only if KG is Lie centrally metabelian.
Group graded rings and smash products
Group-Graded Rings and Modules.
Groups of periods for arbitrary maps on groups.
Groups of simple algebras
Hall algebras, hereditary algebras and quantum groups.
Higher derivations on rings and modules.
Higher order derivations of modules