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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
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.
Citation:
V. B. Poplavski, “On idempotents of algebra of Boolean matrices”, Izv. Saratov Univ. Math. Mech. Inform., 12:2 (2012), 26–33
Linking options:
https://www.mathnet.ru/eng/isu293 https://www.mathnet.ru/eng/isu/v12/i2/p26
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Abstract page: | 282 | Full-text PDF : | 118 | References: | 41 | First page: | 1 |
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