Right Hom-alternative algebras
Donald Yau
TL;DR
This paper explores the properties of multiplicative right Hom-alternative algebras, demonstrating their Hom-power associativity, Hom-Jordan admissibility, and structural decompositions, while extending classical identities to the Hom-algebra setting.
Contribution
It introduces Hom-versions of classical identities and structural decompositions for right Hom-alternative algebras, expanding the theoretical framework of Hom-algebra structures.
Findings
Every multiplicative right Hom-alternative algebra is Hom-power associative.
Such algebras are Hom-Jordan admissible.
They admit Albert-type decompositions with respect to idempotents.
Abstract
It is shown that every multiplicative right Hom-alternative algebra is both Hom-power associative and Hom-Jordan admissible. Multiplicative right Hom-alternative algebras admit Albert-type decompositions with respect to idempotents. Multiplication operators defined by idempotents in right Hom-alternative algebras are studied. Hom-versions of some well-known identities in right alternative algebras are proved.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research