Displaying similar documents to “Derivations of simple C * -algebras. II”

Operators preserving ideals in C*-algebras

V. Shul'Man (1994)

Studia Mathematica

Similarity:

The aim of this paper is to prove that derivations of a C*-algebra A can be characterized in the space of all linear continuous operators T : A → A by the conditions T(1) = 0, T(L∩R) ⊂ L + R for any closed left ideal L and right ideal R. As a corollary we get an extension of the result of Kadison [5] on local derivations in W*-algebras. Stronger results of this kind are proved under some additional conditions on the cohomologies of A.

On hyper BCC-algebras.

Borzooei, R.A., Dudek, W.A., Koohestani, N. (2006)

International Journal of Mathematics and Mathematical Sciences

Similarity:

On BF-algebras

Andrzej Walendziak (2007)

Mathematica Slovaca

Similarity:

Hyper BCI-algebras

Xiao Long Xin (2006)

Discussiones Mathematicae - General Algebra and Applications

Similarity:

We introduce the concept of a hyper BCI-algebra which is a generalization of a BCI-algebra, and investigate some related properties. Moreover we introduce a hyper BCI-ideal, weak hyper BCI-ideal, strong hyper BCI-ideal and reflexive hyper BCI-ideal in hyper BCI-algebras, and give some relations among these hyper BCI-ideals. Finally we discuss the relations between hyper BCI-algebras and hyper groups, and between hyper BCI-algebras and hyper H v -groups.