Jordan *-derivation pairs on a complex *-algebra.
Jordan *-derivation pairs on standard operator algebras and related results
Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided.
Jordan ideals and derivations in prime near-rings
In this paper we investigate -prime near-rings with derivations satisfying certain differential identities on Jordan ideals, and we provide examples to show that the assumed restrictions cannot be relaxed.
Jordan left derivations in full and upper triangular matrix rings.
Jordan superderivations and Jordan triple superderivations of superalgebras
We study Jordan (θ,θ)-superderivations and Jordan triple (θ,θ)-superderivations of superalgebras, using the theory of functional identities in superalgebras. As a consequence, we prove that if A = A₀ ⊕ A₁ is a prime superalgebra with deg(A₁) ≥ 9, then Jordan superderivations and Jordan triple superderivations of A are superderivations of A, and generalized Jordan superderivations and generalized Jordan triple superderivations of A are generalized superderivations of A.
Jordan superderivations. II.
Jordan type of a -module.
Jordan types for indecomposable modules of finite group schemes
In this article we study the interplay between algebro-geometric notions related to -points and structural features of the stable Auslander-Reiten quiver of a finite group scheme. We show that -points give rise to a number of new invariants of the AR-quiver on one hand, and exploit combinatorial properties of AR-components to obtain information on -points on the other. Special attention is given to components containing Carlson modules, constantly supported modules, and endo-trivial modules.
-theory and stable algebra
K2 of p-Adic Group Rings of Abelian p-Groups.
Kaplansky classes
Kappa-Slender Modules
For an arbitrary infinite cardinal , we define classes of -cslender and -tslender modules as well as related classes of -hmodules and initiate a study of these classes.
Kasch bimodules
Kennzeichnung der Klasse eines Ringes endlicher Klasse durch Kommutatormengenprodukte.
Kernels of representations of Drinfeld doubles of finite groups
A description of the commutator of a normal subcategory of the fusion category of representation Rep A of a semisimple Hopf algebra A is given. Formulae for the kernels of representations of Drinfeld doubles D(G) of finite groups G are presented. It is shown that all these kernels are normal Hopf subalgebras.
Kommutatorbeziehungen in Ringen der Charakteristik 0 mit Einselement und ihren Einheitengruppen
Kommutatoren und 2-Cohomologie p-adischer Quaternionenschiefkörper.
Konstruktion endlicher graduierter assoziativer Algebren
Konstruktionen globaler Moduln und Anwendungen.
Kostant's Problem, Goldie Rank and the Gelfand-Kirillov Conjecture.