Displaying similar documents to “Non-Associative Division Algebras Admitting Many Derivations.”

Operators preserving ideals in C*-algebras

V. Shul'Man (1994)

Studia Mathematica

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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.

Conservative algebras and superalgebras: a survey

Yury Popov (2020)

Communications in Mathematics

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We give a survey of results obtained on the class of conservative algebras and superalgebras, as well as on their important subvarieties, such as terminal algebras.

Malcev h*-algebras.

M. Cabrera, J. Martínez Moreno, A. Rodríguez (1986)

Extracta Mathematicae

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On local derivations in the Kadison sense

Andrzej Nowicki (2001)

Colloquium Mathematicae

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Let k be a field. We prove that any polynomial ring over k is a Kadison algebra if and only if k is infinite. Moreover, we present some new examples of Kadison algebras and examples of algebras which are not Kadison algebras.

Peano-algebras and quasi-algebras

J. Słomiński

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CONTENTSIntroduction.................................................................................................................... 5§ 1. Fundamental concepts for quasi-algebras..................................................... 5§ 2. Peano-algebras.................................................................................................... 13§ 3. Peano-algebras and free quasi-algebras....................................................... 25§ 4. Theorems concerning free...