Geodesic
An almost $f$-algebra multiplication extends from a majorizing sublattice
Vladikavkazskij matematičeskij žurnal, Tome 10 (2008) no. 2, pp. 30-31

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It is proved that an almost $f$-algebra multiplication defined on a majorizing sublattice of a Dedekind complete vector lattice can be extended to the whole vector lattice. 
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     author = {A. G. Kusraev},
     title = {An almost $f$-algebra multiplication extends from a majorizing sublattice},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {30--31},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a3/}
}
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A. G. Kusraev. An almost $f$-algebra multiplication extends from a majorizing sublattice. Vladikavkazskij matematičeskij žurnal, Tome 10 (2008) no. 2, pp. 30-31. http://geodesic.mathdoc.fr/item/VMJ_2008_10_2_a3/