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Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity
Universidad de Málaga.
Uppsala Universitet.ORCID iD: 0000-0001-9177-9774
Uppsala Universitet.
2010 (English)In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, Vol. 134, no 3, 247-277 p.Article in journal (Refereed) Published
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. 

Place, publisher, year, edition, pages
2010. Vol. 134, no 3, 247-277 p.
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-21722DOI: 10.1016/j.bulsci.2009.03.001ISI: 000276938900003Scopus ID: 2-s2.0-77949567068OAI: oai:DiVA.org:mdh-21722DiVA: diva2:652512
Available from: 2013-09-30 Created: 2013-09-30 Last updated: 2014-12-08Bibliographically approved

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