2020/11/23 by Louis Rowen, Rowen, Louis, Yoav Segev +1
Computer Science · Mathematics · #17A15 #17A20 #17C27 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Primary: 17A05 #Rings and Algebras (math.RA) #Secondary: 17A36
paper · pdf · doi:10.48550/arxiv.2011.11702
openalex publication_date 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
``Fusion rules'' are laws of multiplication among eigenspaces of an idempotent. We establish fusion rules for flexible power-associative algebras, following Albert. We define the notion of an axis in the noncommutative setting (compare with [HRS]) and accumulate information about pairs of axes. We also describe a class of noncommutative examples of flexible power-associative algebras.