Extension of an almost \(f\)-algebra multiplication

Chil E.
Vladikavkaz Mathematical Journal 2012. Vol. 14. Issue 1.

Abstract:
It is proved that an almost \(f\)-algebra multiplication and a \(d\)-algebra multiplication defined on a majorizing vector sublattice of a Dedekind complete vector lattice can be extended to the whole vector lattice by using purely algebraic and order theoretical means.

Keywords: almost \(f\)-algebra, \(d\)-algebra, \(f\)-algebra, vector lattice

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