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DOI: 10.23671/VNC.2012.14.10956

# 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
For citation:  Chil E. Extension of an almost $$f$$-algebra multiplication.Vladikavkazskii matematicheskii zhurnal [Vladikavkaz Math. J.], 2012, vol. 14, no. 1, pp. 75-77. DOI 10.23671/VNC.2012.14.10956