Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity |
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| Authors: | José Antonio Cuenca Mira Erik Darpö Ernst Dieterich |
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| Institution: | a Departamento de Algebra, Geometria y Topologia, Facultad de Ciencias, Universidad de Málaga, Campus Teatinos, Apartado 59, 29080 Málaga, Spain
b Matematiska Institutionen, Uppsala Universitet, Box 480, SE-751 06 Uppsala, Sweden |
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| Abstract: | An absolute valued algebra is a non-zero real algebra that is equipped with a multiplicative norm. We classify all finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity, up to algebra isomorphism. This completes earlier results of Ramírez Álvarez and Rochdi which, in our self-contained presentation, are recovered from the wider context of composition k-algebras with an LR-bijective idempotent. |
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| Keywords: | 15A21 17A35 17A36 17A80 |
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