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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2012, Volume 12, Issue 2, Pages 26–33
DOI: https://doi.org/10.18500/1816-9791-2012-12-2-26-33 (Mi isu293) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

On idempotents of algebra of Boolean matrices

V. B. Poplavski

Saratov State University, Chair of Geometry
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DOI: https://doi.org/10.18500/1816-9791-2012-12-2-26-33
Abstract: The structure of idempotent matrices in partial semigroups of matrices of arbitrary sizes with elements from arbitrary Boolean algebra with conjunctive and disjunctive partial multiplications is investigated. The connection of solvability of the simplest matrix equations with some kind of idempotent matrices which are called “secondary idempotents” is shown. Also we show the connection of arbitrary idempotent matrices with secondary idempotents and investigate their properties.
Key words: Boolean matrices, matrix equations, idempotents.
Bibliographic databases:
Document Type: Article
UDC: 512.554+512.643
Language: Russian
Citation: V. B. Poplavski, “On idempotents of algebra of Boolean matrices”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 26–33
Citation in format AMSBIB
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\by V.~B.~Poplavski
\paper On idempotents of algebra of Boolean matrices
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2012
\vol 12
\issue 2
\pages 26--33
\mathnet{http://mi.mathnet.ru/isu293}
\crossref{https://doi.org/10.18500/1816-9791-2012-12-2-26-33}
\elib{https://elibrary.ru/item.asp?id=17747115}
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