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Characterizations of hereditary and full hereditary \(JB\)-subalgebras - MaRDI portal

Characterizations of hereditary and full hereditary \(JB\)-subalgebras (Q674697)

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scientific article; zbMATH DE number 987518
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Characterizations of hereditary and full hereditary \(JB\)-subalgebras
scientific article; zbMATH DE number 987518

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    Characterizations of hereditary and full hereditary \(JB\)-subalgebras (English)
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    1 September 1997
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    Hereditary JB-subalgebras of a given JB-algebra \(A\) were characterized by \textit{C. M. Edwards} [J. Lond. Math. Soc., II. Ser. 19, 335-344 (1979; Zbl 0387.46043)] as the norm closed quadratic ideals in \(A\). In this note the authors give some characterizations of hereditary JB-subalgebras. They also characterize full hereditary JB-subalgebras.
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    Jordan-Banach algebras
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    quadratic ideals
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    hereditary Jordan-Banach subalgebras
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