# Product structure in Frame [closed]

Is there a well known product structure for Frames? I.e. if $$L$$ and $$L^{\prime}$$ are frames, is there a product object in $$\mathbf{Frm}$$ category isomorphic to an object with underlying set the set product $$L\times L^{\prime}$$, and what is its order?

Also, I think this will be answered when the former is but just in case it won't, Is the case for coframes substantially different?

• Frames are (infinitary) algebraic structures. Limits of algebraic structures are easy, you build them from the limits of underlying sets with pointwise operations. Jul 19, 2021 at 7:53
• It seems that some mods think this question is not worth this site, despite there is no a quick answer in the web to it, even more they didn't even take the time to leave a comment why is not well suited. A shame that entitled behavior is observed in this website. Jul 28, 2021 at 15:27

$$(x_{1},y_{1})\leq (x_{2},y_{2})$$ iff $$x_{1}\leq x_{2}$$ and $$y_{1}\leq y_{2}$$.