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On local derivations in the Kadison sense

Andrzej Nowicki — 2001

Colloquium Mathematicae

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.

Binomial sequences

Andrzej Nowicki — 2019

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

We present a description of all binomial sequences of polynomials in one variable over a field of characteristic zero.

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