This is an announcement for the paper "Fremlin tensor products of concavifications of Banach lattices" by Vladimir G. Troitsky and Omid Zabeti. Abstract: Suppose that $E$ is a uniformly complete vector lattice and $p_1, \ldots , p_n$ are positive reals. We prove that the diagonal of the Fremlin projective tensor product of $E_(p_1), \ldots ,E_(p_n)$ can be identified with $E_(p)$ where $p = p_1+\ldots+p_n$ and $E_(p)$ stands for the $p$-concavification of $E$. We also provide a variant of this result for Banach lattices. This extends the main result of [BBPTT]. Archive classification: math.FA Mathematics Subject Classification: Primary: 46B42. Secondary: 46M05, 46B40, 46B45 Remarks: 10 pages Submitted from: ozabeti@yahoo.ca The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1301.0749 or http://arXiv.org/abs/1301.0749