2010/08/11 by Murray R. Bremner, Bremner, Murray R. · 1 citation
Mathematics · #17A32 #17A50 #17C05 #17C50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 17A30. Secondary 17A15 #Representation Theory (math.RT) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1008.2009
openalex publication_date 2010/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Velasquez and Felipe recently introduced quasi-Jordan algebras based on the product a \triangleleft b = \tfrac12 ( a \dashv b + b \vdash a ) in an associative dialgebra with operations \dashv and \vdash. We determine the polynomial identities of degree ≤ 4 satisfied by this product. In addition to right commutativity and the right quasi-Jordan identity, we obtain a new associator-derivation identity.