On subdirect decomposition and varieties of some rings with involution.
On the associative Nijenhuis relation.
On the center of a left Jordan groupoid
On the characterization of certain additive maps in prime -rings
Let be a noncommutative prime ring equipped with an involution ‘’, and let be the maximal symmetric ring of quotients of . Consider the additive maps and . We prove the following under some inevitable torsion restrictions. (a) If and are fixed positive integers such that for all and for all , then . (b) If for all , then . Furthermore, we characterize Jordan left -centralizers in semiprime rings admitting an anti-automorphism . As applications, we find the structure of...
On the generalized hypercentralizer of a Lie ideal in a prime ring
On the radical theory of involution algebras
On the Splitting by Subalgebras of Algebras with Involution Traces.
On -centralizers of semiprime rings.
Orderings and preorderings in rings with involution
The notions of a preordering and an ordering of a ring R with involution are investigated. An algebraic condition for the existence of an ordering of R is given. Also, a condition for enlarging an ordering of R to an overring is given. As for the case of a field, any preordering of R can be extended to some ordering. Finally, we investigate the class of archimedean ordered rings with involution.
Parametric representations of BiHom-Hopf algebras
The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new -monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras.
Partial isometries and EP elements in rings with involution.
Pfaffians, central simple algebras and similtudes.
Potenzen von invarianten Untergruppen in Ringen mit Involution
Prüfer rings with involution
The concept of a Prüfer ring is studied in the case of rings with involution such that it coincides with the corresponding notion in the case of commutative rings.
Quadratic pairs in characteristic 2 and the Witt cancellation theorem.
Quelques applications géométriques des algèbres de Jordan
Radikale von separablen Algebren über Ringen.
Recent results on the derived length of Lie solvable group algebras.
Relative hermitian Morita theory. Part II: Hermitian Morita contexts.
We introduce the notion of a relative hermitian Morita context between torsion triples and we show how these induce equivalences between suitable quotient categories of left and right modules.Due to the lack of involutive bimodules, the induced Morita equivalences are not necessarily hermitian, however.
Remarks on the Lie derived lengths of group algebras of groups with cyclic derived subgroup.