Orthogonal generalized -derivations of semiprime rings.
Outer automorphisms of endomorphism algebras
Commutative rings over which no endomorphism algebra has an outer automorphism are studied.
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.
Path coalgebras of profinite bound quivers, cotensor coalgebras of bound species and locally nilpotent representations
We prove that the study of the category C-Comod of left comodules over a K-coalgebra C reduces to the study of K-linear representations of a quiver with relations if K is an algebraically closed field, and to the study of K-linear representations of a K-species with relations if K is a perfect field. Given a field K and a quiver Q = (Q₀,Q₁), we show that any subcoalgebra C of the path K-coalgebra K◻Q containing is the path coalgebra of a profinite bound quiver (Q,), and the category C-Comod...
Pfaffians, central simple algebras and similtudes.
Poincaré duality for - Lie superalgebras
Point modules over Sklyanin algebras.
Polynomial and transformation composition rings.
Polynomial rings over pseudovaluation rings.
Posner's second theorem and an annihilator condition.
Posner's second theorem and annihilator conditions with generalized skew derivations
Let be a prime ring of characteristic different from 2, be its right Martindale quotient ring and be its extended centroid. Suppose that is a non-zero generalized skew derivation of and f(x₁,..., xₙ) is a non-central multilinear polynomial over with n non-commuting variables. If there exists a non-zero element a of such that a[ (f(r₁,..., rₙ)),f(r₁, ..., rₙ)] = 0 for all r₁, ..., rₙ ∈ , then one of the following holds: (a) there exists λ ∈ such that (x) = λx for all x ∈ ; (b) there exist and...
Potenzen von invarianten Untergruppen in Ringen mit Involution
p.p. rings and reduced rings
Prime and semiprime rings with symmetric skew n-derivations
Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
Prime ideals and strongly prime ideals of skew Laurent polynomial rings.
Prime PI-rights in which finitely generated right ideals are principal.
Prime rings with hypercommuting derivations on a Lie ideal
Primitive Derivations in Free Associative Algebras.
Primitive Ideals in Crossed Products and Rings with Finite Group Actions.