Geodesic
When all separately band preserving bilinear operators are symmetric?
Vladikavkazskij matematičeskij žurnal, Tome 9 (2007) no. 2, pp. 22-25

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A purely algebraic characterization of universally complete vector lattices in which all separately band preserving bilinear operators are symmetric is obtained: this class consists of universally complete vector lattices with $\sigma$-distributive Boolean algebra of bands. 
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     author = {A. G. Kusraev},
     title = {When all separately band preserving bilinear operators are symmetric?},
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A. G. Kusraev. When all separately band preserving bilinear operators are symmetric?. Vladikavkazskij matematičeskij žurnal, Tome 9 (2007) no. 2, pp. 22-25. http://geodesic.mathdoc.fr/item/VMJ_2007_9_2_a2/