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LIE ISOMORPHISMS IN *-PRIME GPI RINGS WITH INVOLUTION

Philip S. Blau and Wallace S. Martindale, 3rd
Taiwanese Journal of Mathematics
Vol. 4, No. 2 (June 2000), pp. 215-252
Stable URL: http://www.jstor.org/stable/43834414
Page Count: 38
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
LIE ISOMORPHISMS IN *-PRIME GPI RINGS WITH INVOLUTION
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Abstract

Let R and S be *-prime GPI rings with involution, with respective skew elements K and L, with respective extended centroids C and D, and let α: [K, K]/[K, K] ∩ C → [L, L] ∩ D be a Lie isomorphism. If both involutions are of the second kind it is shown that α is determined by a related associative isomorphism and if the involutions are of different kinds it is shown that such a map α cannot exist (modulo some lowdimensional counterexamples).

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