On an algebra of images
Diskretnaya Matematika, Tome 8 (1996) no. 4, pp. 149-156
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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.
@article{DM_1996_8_4_a12,
author = {K. V. Kharin},
title = {On an algebra of images},
journal = {Diskretnaya Matematika},
pages = {149--156},
year = {1996},
volume = {8},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_1996_8_4_a12/}
}
K. V. Kharin. On an algebra of images. Diskretnaya Matematika, Tome 8 (1996) no. 4, pp. 149-156. http://geodesic.mathdoc.fr/item/DM_1996_8_4_a12/