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Vladikavkazskii Matematicheskii Zhurnal, 2008, Volume 10, Number 2, Pages 30–31
(Mi vmj63)
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This article is cited in 1 scientific paper (total in 1 paper)
An almost $f$-algebra multiplication extends from a majorizing sublattice
A. G. Kusraev Institute of Applied Mathematics and Informatics Vladikavkaz Science Center of the RAS, RUSSIA
Abstract:
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.
Key words:
almost $f$-algebra, $f$-algebra, vector lattice, majorizing sublattice, lattice homomorphism, positive operator, square of a vector lattice.
Received: 24.03.2008
Citation:
A. G. Kusraev, “An almost $f$-algebra multiplication extends from a majorizing sublattice”, Vladikavkaz. Mat. Zh., 10:2 (2008), 30–31
Linking options:
https://www.mathnet.ru/eng/vmj63 https://www.mathnet.ru/eng/vmj/v10/i2/p30
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Abstract page: | 315 | Full-text PDF : | 92 | References: | 66 | First page: | 1 |
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