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Diskretnaya Matematika, 1996, Volume 8, Issue 4, Pages 149–156
DOI: https://doi.org/10.4213/dm551 (Mi dm551) 		 
On an algebra of images

K. V. Kharin
Full-text PDF (828 kB)
DOI: https://doi.org/10.4213/dm551
Abstract: We consider an algebra of formalized plane pictures with the complete system of binary Boolean operations $(\&, \vee, \neg)$ which are executed point-wise. We give the minimum and maximum values of the cardinality of the basis. We define canonical systems of generators for subalgebras and formulate in these terms a criterion of maximality (precompleteness) of a subalgebra.
Received: 23.10.1996
Bibliographic databases:
UDC: 519.716
Language: Russian
Citation: K. V. Kharin, “On an algebra of images”, Diskr. Mat., 8:4 (1996), 149–156; Discrete Math. Appl., 6:6 (1996), 627–634
Citation in format AMSBIB
\Bibitem{Kha96}
\by K.~V.~Kharin
\paper On an algebra of images
\jour Diskr. Mat.
\yr 1996
\vol 8
\issue 4
\pages 149--156
\mathnet{http://mi.mathnet.ru/dm551}
\crossref{https://doi.org/10.4213/dm551}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1447329}
\zmath{https://zbmath.org/?q=an:0861.08005}
\transl
\jour Discrete Math. Appl.
\yr 1996
\vol 6
\issue 6
\pages 627--634
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    		Дискретная математика
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