Study of an identity
classification
🧮 math.LO
math.GR
keywords
identityabovecertainconcreteconstructdescribingfreegeometry
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We solve the word problem of the identity $x(yz) = (xy)(yz)$ by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of the free system of rank~1 relative to the above identity
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