Third-power associative absolute valued algebras with a nonzero idempotent commuting with all idempotents
نویسندگان
چکیده
منابع مشابه
Third-power Associative Absolute Valued Algebras with a Nonzero Idempotent Commuting with All Idempotents
This paper deals with the determination of the absolute valued algebras with a nonzero idempotent commuting with the remaining idempotents and satisfying x2x = xx2 for every x. We prove that, in addition to the absolute valued algebras R, C, H, or O of the reals, complexes, division real quaternions or division real octonions, one such absolute valued algebra A can also be isometrically isomorp...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 2014
ISSN: 0214-1493
DOI: 10.5565/publmat_58214_23