Abstract

In a paper by A. Wörz the dimension of the derivation algebra of a finite dimensional Bernstein algebra is given and Bernstein algebras having a derivation algebra of maximal dimension are characterized as those with product zero in the kernel (trivial Bernstein algebras). This paper considers the opposite case, that is, Bernstein algebras having a zero derivation algebra. Some conditions needed for a Bernstein algebra to have zero derivation algebra are obtained, and some examples are given.

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