Let  be a Banach algebra. Let  , be linear mappings on  . First we

demonstrate a theorem concerning the continuity of double derivations; especially

that all of ( , ) -double derivations are continuous on semi-simple Banach...

We introduce double derivations and study some algebraic and automatic ar operatorsse linecontinuity of the...

Let A be a Banach algebra and let every module-valued derivation from A to any Banach A-bimodule be continuous. We show that if {dm} is a higher derivation from A to a Banach algebra B with continuous d0, then there exist a continuous left A...

\\"CHARACTERIZATION OF HIGHER DERIVATIONS ON ALGEBRAS\\"

Let A be an algebra. A sequence d_n of linear mappings on A is called a higher derivation if d_n(ab)=\\\\sum_{k=1}^n d_k(a)d_{n-k}(b). In this paper we give a characterization of higher...

In this paper we study modules and module derivations of JB*-algebras. We prove some results for annihilators of submodules, and we also prove the continuity of module derivations of JB*-algebras to Banach Jordan modules in certain cases which is a...

Let mathcal{A} be an algebra and

delta, varepsilon: mathcal{A} to mathcal{A} be linear mappings. We say that a linear

mapping d: mathcal{A} to mathcal{A} is a

( delta, varepsilon) -double derivation if

d...

Let A be an algebra. A sequence d = {dn}∞
n=0 of linear operators on A is called a higher derivation if d0 is the identity mapping on A and
dn(xy) = Pn
k=0 dk(x)dn−k(y), for each n = 0, 1, 2, . . . and x, y ∈ A. We say that
a higher...

PRIME HIGHER DERIVATIONS ON ALGEBRAS

Let A be an algebra. A sequence {d_n} of linear mappings

from A into P A is called a higher derivation if d_n(ab) = sum_k=0^n d_k(a) d_{n−k}(b) for each a, b in A and each nonnegative integer...

Two characterizations for higher derivations on commutative algebras and higher ternary derivations on ternary algebras are given. In particular, we show that a sequence $\\{h_{n}\\}_{n=0}^{\\infty}$ of linear mappings on a ternary algebra...

Let A and B be two algebras. In this paper we give a characterization

of generalized higher derivations (Jordan generalized higher derivations) from A to B

in terms of generalized derivations (Jordan generalized derivations) on B under...