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Hinge Algebra: Reclassifying 0, +1, and −1 as Operators to Preserve Information at Mathematical Boundaries

Classical algebra treats 0, +1, and −1 as ordinary numbers, leading to destructive annihilation at 0 and trivial identity/reflection roles for ±1. This work introduces Hinge Algebra, a framework where 0, +1, and −1 are reclassified as operators:   0 = Pivot hinge (non-erasing boundary, preserves pre-zero information),   +1 = Preserve hinge ...
openaire   +1 more source

Löwner's Operator and Spectral Functions in Euclidean Jordan Algebras

Mathematics of Operations Research, 2008
Defeng Sun, Jie Sun
exaly  

Unitary vertex operator algebras

Journal of Algebra, 2014
Chongying Dong, Xingjun Lin
exaly  

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