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
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机译：设$ p $为任何质数，设$ {\ mathcal B}（p）$为任何代数的\\ mathbb {F} _p $ -Hopf代数的同调环的运算代数。本文证明，当$ p $为奇数时（与$ p = 2 $情况不同），$ {\ mathcalB}（p）$不能成为$ \ mathbb {F} _p $-的Singer类别中的对象代数和副产品，如果我们要求副产品作用于$ {\ mathcal B}（p）$的生成器，并且与其同调运算的性质一致
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