Higher dimensional relations and commutators
Paper Authors:
Andrew Moorhead
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Key Details
Mal'cev complexes extend equivalence relations to higher dimensions
They are determined by compatibility with higher arity polynomials
This allows defining new algebraic commutators and centralizers
Examples show these commutators differ from previous definitions
The results contribute to universal algebra and constraint satisfaction
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Higher dimensional relations and commutators
This paper introduces higher dimensional relations called Mal'cev complexes, which generalize equivalence relations. It shows these are determined by higher arity polynomials and uses this to define new commutators. The results impact universal algebra and constraint satisfaction.
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