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On a Class Of Almost Alternative Algebras

Published online by Cambridge University Press:  20 November 2018

L. A. Kokoris*
Affiliation:
Washington University, St. Louis
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Introduction. In the study of almost alternative algebras (2) relative to quasiequivalence an important class called algebras of (γ, δ) type arises. An algebra of (γ, δ) type is a finite dimensional algebra over a field satisfying the identities

1,

and

2

where γ and δ are elements of satisfying γ2 − δ2 + δ = 1.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1956

References

1. Albert, A. A., On the power-associativity of rings, Summa Braziliensis Mathematicae, 2 (1948), 113.Google Scholar
2. Albert, A. A., Almost alternative algebras, Portugaliae Mathematica, 8 (1949), 2336.Google Scholar
3. Albert, A. A., A theory of power-associative commutative algebras, Trans. Amer. Math. Soc, 69 (1950), 503527.Google Scholar