Classification of the finite dimensional absolute valued algebras having a non-zero central idempotent or a one-sided unity

DOI10.1016/j.bulsci.2009.03.001zbMath1188.17002OpenAlexW2019980937MaRDI QIDQ966113

Ernst Dieterich, José Antonio Cuenca Mira, Erik Darpö

Publication date: 27 April 2010

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.03.001

zbMATH Keywords

central idempotentAbsolute valued algebraLR-bijective idempotentone-sided unit

Mathematics Subject Classification ID

Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Nonassociative division algebras (17A35) Valued algebras (17A80)

Related Items (8)

Classification of pairs of rotations in finite-dimensional Euclidean space ⋮ On the structure of third-power associative absolute valued algebras ⋮ Classification of the finite-dimensional real division composition algebras having a non-abelian derivation algebra ⋮ On power-associativity of algebras with no nonzero joint divisor of zero and containing a nonzero central idempotent ⋮ Finite-dimensional absolute-valued algebras ⋮ Corestricted group actions and eight-dimensional absolute valued algebras ⋮ A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields ⋮ An approach to finite-dimensional real division composition algebras through reflections

Cites Work

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