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Suppose that  is a uniformly complete vector lattice and  are positive reals. We prove that the diagonal of the Fremlin projective tensor product of  can be identified with  where  and  stands for the -concavification of . We also provide a variant of this result for Banach lattices. This extends the main result of Bu et al. (Positivity, ).

Fremlin tensor products of concavifications of Banach lattices