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Derivations and the center of an orthogonal sum of algebras with unity. (Russian) Zbl 0729.17001
In Algebra Logika 18, 637–647 (1979; Zbl 0448.17002) the author defined the concept of an orthogonal sum of algebras with unity, and in this work he continues that study. Assuming the characteristic of the base field is not 2, he (1) characterizes the derivation algebra of a finite orthogonal sum of algebras with unity, where the algebras in the sum have a particular form; and (2) shows that an orthogonal sum of commutative nondegenerate algebras with unity is a central simple algebra with unity.
MSC:
17A60 Structure theory for nonassociative algebras
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