Corpus ID: 14695358

Emergent algebras as generalizations of differentiable algebras, with applications

  title={Emergent algebras as generalizations of differentiable algebras, with applications},
  author={Marius Buliga},
We propose a generalization of differentiable algebras, where the underlying differential structure is replaced by a uniform idempotent right quasigroup (irq). Algebraically, irqs are related with racks and quandles, which appear in knot theory (the axioms of a irq correspond to the first two Reidemeister moves). An emergent algebra is a algebra A over the uniform irq X such that all operations and algebraic relations from A can be constructed or deduced from combinations of operations in the… Expand
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