Undergrad Zero Element in a Ring: The 0 Ring Has Only One Element

chwala
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Am just but refreshing (kindly see highlihted part)
1690386646773.png


...this element ##r## can only be ##0## correct? The zero ring has only one element which is ##0##.
 
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I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...

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