Derivations ofC∗-algebras have semi-continuous generators

Derivations of Homotopy Algebras

We recall the definition of strong homotopy derivations of A∞ algebras and introduce the corresponding definition for L∞ algebras. We define strong homotopy inner derivations for both algebras and exhibit explicit examples of both.

Derivations of Convolution Algebras

Derivations of quasi *-algebras

The spatiality of derivations of quasi *-algebras is investigated by means of representation theory. Moreover, in view of physical applications, the spatiality of the limit of a family of spatial derivations is considered.

Azumaya algebras and derivations

Derivations of MV-Algebras

In his classical paper 1 , Chang invented the notion of MV-algebra in order to provide an algebraic proof of the completeness theorem of infinite valued Lukasiewicz propositional calculus. Recently, the algebraic theory of MV-algebras is intensively studied, see 2–5 . The notion of derivation, introduced from the analytic theory, is helpful to the research of structure and property in algebraic...