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
Right ideals and derivations on multilinear polynomials
Right Sided Ideals and Multilinear Polynomials with Derivation on Prime Rings
Some commutativity results for rings
Symmetric units and group identities in group algebras. I.
Two elementary commutativity theorems for generalized Boolean rings.
Vanishing power values of commutators with derivations.
Vanishing power values of commutators with derivations on prime rings.
Z2-Graded Polynomial Identities for Superalgebras of Block-Triangular Matrices
000 Mathematics Subject Classification: Primary 16R50, Secondary 16W55.We present some results about the Z2-graded polynomial identities of block-triangular matrix superalgebras R[[A M],[0 B]]. In particular, we describe conditions for the T2-ideal of a such superalgebra to be factorable as the product T2(A)T2(B). Moreover, we give formulas for computing the sequence of the graded cocharacters of R in some interesting case.Partially supported by MURST COFIN 2003 and Università di Bari.
О дифференцированиях первичных колец положительной характеристики
О косых дифференцированиях полупервичных колец.
О некоторых условиях коммутативности для колец
Обобщенные полиномиальные тождества и кольца, являющиеся суммами двух подколец
Простейшие алгебраические зависимости косых дифференцирований первичных колец.