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首页> 外文期刊>Communications in algebra >JORDAN SUPERALGEBRAS OF TYPE M-n vertical bar m (F)((+)) AND THE WEDDERBURN PRINCIPAL THEOREM (WPT)
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JORDAN SUPERALGEBRAS OF TYPE M-n vertical bar m (F)((+)) AND THE WEDDERBURN PRINCIPAL THEOREM (WPT)

机译:JORDAN SUPERALGEBRAS OF TYPE M-n vertical bar m (F)((+)) AND THE WEDDERBURN PRINCIPAL THEOREM (WPT)

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摘要

An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superalgebras G with solvable radical N, N-2 = 0, and such that G/N congruent to M-n vertical bar m(IF)((+)), where F is a field of characteristic zero. It is proved that the WPT is valid under some restrictions over the irreducible M-n vertical bar m(IF)((+))-bimodules contained in N, and it is shown with counterexamples that these restrictions cannot be weakened.

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