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Vladikavkazskii Matematicheskii Zhurnal, 2007, Volume 9, Number 2, Pages 22–25 (Mi vmj92)  
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
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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
Bibliographic databases:
Document Type: Article
UDC: 517.98
MSC: 46A40, 47A65, 03C90, 06F25
Language: English
Citation: A. G. Kusraev, “When all separately band preserving bilinear operators are symmetric?”, Vladikavkaz. Mat. Zh., 9:2 (2007), 22–25
Citation in format AMSBIB
\Bibitem{Kus07}
\by A.~G.~Kusraev
\paper When all separately band preserving bilinear operators are symmetric?
\jour Vladikavkaz. Mat. Zh.
\yr 2007
\vol 9
\issue 2
\pages 22--25
\mathnet{http://mi.mathnet.ru/vmj92}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2434628}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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