near-rings.
Permutation Identity Near-RIngs and "Localized" Distributivity Conditions.
Polynomial identities and radicals
Polynomial identities for tensor products of Grassmann algebras.
Polynomial identities in smash products.
Polynomial identities of nil algebras of bounded index
Lo scopo di questo lavoro è di dare una nuova descrizione del -ideale generato dalla nil-identità come immagine omeomorfa della -esima potenza tensoriale simmetrica dell'algebra associativa libera su un campo di caratteristica . Come applicazione calcoliamo il carattere delle conseguenze multilineari di grado dell'identità .
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...
Prime rings with hypercommuting derivations on a Lie ideal
Pseudospectra and matrix behaviour
We study the extent to which the pseudospectra of a matrix determine other aspects of its behaviour, such as the growth of its powers and its unitary equivalence class.