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Let $p$ be any prime, and let ${\mathcal B}(p)$ be the algebra of operationson the cohomology ring of any cocommutative $\mathbb{F}_p$-Hopf algebra. Inthis paper we show that when $p$ is odd (and unlike the $p=2$ case), ${\mathcalB}(p)$ cannot become an object in the Singer category of$\mathbb{F}_p$-algebras with coproducts, if we require that coproducts act onthe generators of ${\mathcal B}(p)$ coherently with their nature of cohomologyoperations

A Note on the Algebra of Operations for Hopf Cohomology at Odd Primes