Motivated by the extensive works of W.-S. Cheung [Linear Multilinear Algebra, 51 (2003), 299-

310] and X.F. Qi [Acta Math. Sinica, English Series, 29 (2013), 1007-1018], we present the structure of Lie

higher derivations on a...

Using field redefinitions and Bianchi identities on the general form of the effective action for metric, ‎$‎B‎$‎-field and dilaton, we have found that the minimum number of independent couplings at order ‎$‎\\\\\\\\a ...

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...

By explicit calculations of four-field couplings, we observe that the higher derivative corrections to the DBI action in flat space-time, can be either in a covariant form or in a T-duality invariant form. The two forms are related by a non...

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...

We calculate in details the sphere-level scattering amplitude of two Ramond-Ramond (RR) and two Neveu-Schwarz-Neveu-Schwarz (NSNS) vertex operators in type II superstring theories in Ramond-Neveu-Schwarz (RNS) formalism. ...

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...

We study automatic continuity of higher derivations from JB*-algebras to Banach Jordan Algebras...