Rings -radical over -subrings
Rings with involution whose symmetric elements are central.
Semiprime rings with nilpotent Lie ring of inner derivations
We give an elementary and self-contained proof of the theorem which says that for a semiprime ring commutativity, Lie-nilpotency, and nilpotency of the Lie ring of inner derivations are equivalent conditions
Some maximal graduation classes and their Riemannian properties
Some results for generalized Lie ideals in prime rings with derivation. II.
Strong commutativity preserving maps on Lie ideals of semiprime rings.
Strongly 2-nil-clean rings with involutions
A -ring is strongly 2-nil--clean if every element in is the sum of two projections and a nilpotent that commute. Fundamental properties of such -rings are obtained. We prove that a -ring is strongly 2-nil--clean if and only if for all , is strongly nil--clean, if and only if for any there exists a -tripotent such that is nilpotent and , if and only if is a strongly -clean SN ring, if and only if is abelian, is nil and is -tripotent. Furthermore, we explore the structure...
Structures de Jacobi sur une variété des points proches
Structures naturelles des demi-groupes et des anneaux réguliers ou involutés
Certaines relations binaires sont définies sur les demi-groupes et les demi-groupes à involution. On examine comment elles peuvent en ordonner les éléments: notamment les idempotents, les éléments réguliers au sens de von Neumann, ceux qui possédent un inverse ponctuel ou de Moore-Penrose ; et en fonction aussi de conditions sur l'involution. Ces relations peuvent alors coïncider avec les ordres naturels des idempotents et des demi-groupes inverses, avec les ordres de Drazin et de Hartwig : elles...
Symmetric units and group identities in group algebras. I.
The continuity of Lie homomorphisms
We prove that the separating space of a Lie homomorphism from a Banach algebra onto a Banach algebra is contained in the centre modulo the radical.
The Hermitian Morita theorems.
The Lie structure of C* and Poisson algebras
The multipliers of similitudes and the Brauer group of homogeneous varieties.
The relative dihedral homology of involutive algebras.
The Robson cubics for matrix algebras with involution.
The Structure of *-simple Involution Rings with Minimal *-Biideals
Twisted gamma filtration and algebras with orthogonal involution
For the Grothendieck group of a split simple linear algebraic group, the twisted γ-filtration provides a useful tool for constructing torsion elements in -rings of twisted flag varieties. In this paper, we construct a non-trivial torsion element in the γ-ring of a complete flag variety twisted by means of a PGO-torsor. This generalizes the construction in the HSpin case previously obtained by Zainoulline.
Twisted Hopf Algebras.
Über Ringe mit auflösbaren assoziierten Lie-Ringen