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Finite-dimensional (*)-serial algebras

✍ Scribed by HaiLou Yao; WeiLi Fan

Publisher
SP Science China Press
Year
2010
Tongue
English
Weight
201 KB
Volume
53
Category
Article
ISSN
1674-7283

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We prove that if A is a non-associative algebra over the field of real numbers, if 5 5 5 5 5 5 5 5 there is a norm ΠΈ on A satisfying xy s x y for all x, y in A, and if every one-generated subalgebra of A is finite-dimensional, then A is finite-dimensional.