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  • 1.
    Cuenca Mira, José Antonio
    et al.
    Universidad de Málaga.
    Darpö, Erik
    Uppsala Universitet.
    Dieterich, Ernst
    Uppsala Universitet.
    Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity2010In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, E-ISSN 1952-4773, Vol. 134, no 3, p. 247-277Article in journal (Refereed)
    Abstract [en]

    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 Ramirez Alvarez 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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