Generalized koszul complexes and the extension functor |
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Authors: | David Kirby |
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Affiliation: | Faculty of Mathematical Studies , The University, Southampton , Southampton, SO9 5NH |
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Abstract: | We show that Jordan triple homomorphisms and derivations between prime special quadral Jordan triple systems on which Zel’manov polynomials do not vanish extend to associative homomorphis and derivations of associative ?-envelopes (either associative triple systems or Z2-graded associative algebras). This generalizes results of Zel'manov and McCrimmon for Jordan algebras (which in turn generalized results of Martindale). |
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