Abstract
A commutative algebra A over the field F, endowed with a non-zero homorphism ω:A →F is principal train if it satisfies the identity xr+y1ω(x)xr−1 +… +yr−1ω(x)r−1x=0 where y1,…,yr−1 are fixed elements in F. We present in this paper, after the introduction of the concept of “type” of A, some results concerning the classification in the case r = 3. In particular we describe all these algebras of dimension≦5.
Publisher
Cambridge University Press (CUP)
Reference8 articles.
1. When is R2 a division algebra?;Althoen;Amer. Math. Monthly,1983
2. A note on train algebras
3. XXIII.—Genetic Algebras
4. Commutative train algebras of ranks 2 and 3;Etherington;J. London Math. Soc.
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13 articles.
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