The bar-radical in power-associative nth-order Bernstein algebras
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In this paper we prove that if \( (A, \omega) \) is a power-associative nth-order Bernstein algebra, then the bar-radical of \( (A, \omega) \) is contained in (bar(A))2. When \( (A, \omega) \) is Jordan, then the bar-radical is (bar(A))2.
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