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Vladikavkazskii Matematicheskii Zhurnal, 2007, Volume 9, Number 2, Pages 22–25
(Mi vmj92)
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This article is cited in 2 scientific papers (total in 3 papers)
When all separately band preserving bilinear operators are symmetric?
A. G. Kusraev Institute of Applied Mathematics and Informatics, Vladikavkaz Science Center of the RAS, Vladikavkaz, Russia
Abstract:
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.
Key words:
vector lattice, band preserving operator, orthosymmetric bilinear operator, $\sigma$-distributive Boolean algebra, Boolean valued model.
Received: 22.03.2007
Citation:
A. G. Kusraev, “When all separately band preserving bilinear operators are symmetric?”, Vladikavkaz. Mat. Zh., 9:2 (2007), 22–25
Linking options:
https://www.mathnet.ru/eng/vmj92 https://www.mathnet.ru/eng/vmj/v9/i2/p22
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Abstract page: | 364 | Full-text PDF : | 95 | References: | 70 | First page: | 1 |
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