Let $\mathcal{A}$ be an $Ab4$ category. Define $Ext^{n}(-,-):\mathcal{A}^{op}\times\mathcal{A}\rightarrow \mathrm{Ext}^{n}(-,-):\mathcal{A}^{op}\times\mathcal{A}\rightarrow Ab$ bifunctor using n-extensions. Consider $A$ an object of $\mathcal{A}$. Does $Ext^{n}(-,A)$ \mathrm{Ext}^{n}(-,A)$ preserve products?
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Let $\mathcal{A}$ be an $Ab4$ category. Define $Ext^{n}(-,-):\mathcal{A}^{op}\times\mathcal{A}\rightarrow Ab$ bifunctor using n-extensions. Consider $A$ an object of $\mathcal{A}$. Does $Ext^{n}(-,A)$ preserves preserve products? |
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$Ext$ preserves productsLet $\mathcal{A}$ be an $Ab4$ category. Define $Ext^{n}(-,-):\mathcal{A}^{op}\times\mathcal{A}\rightarrow Ab$ bifunctor using n-extensions. Consider $A$ an object of $\mathcal{A}$. Does $Ext^{n}(-,A)$ preserves products?
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