Minimal algebras of unary multioperations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 220-224
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A matrix impression of algebras of unary multioperations of a finite rank and the list of the identities which are carried out in such algebras are gained. These results are used for the proof of the main result: descriptions of the minimal algebras of unary multioperations of a finite rank. As a result the list of all such minimal algebras for small ranks is received.
Keywords:
multioperation, algebra, minimal algebra, operation
Mots-clés : matrix, substitution.
Mots-clés : matrix, substitution.
@article{JSFU_2016_9_2_a10,
author = {Nikolay A. Peryazev and Yulia V. Peryazeva and Ivan K. Sharankhaev},
title = {Minimal algebras of unary multioperations},
journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
pages = {220--224},
year = {2016},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a10/}
}
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%0 Journal Article %A Nikolay A. Peryazev %A Yulia V. Peryazeva %A Ivan K. Sharankhaev %T Minimal algebras of unary multioperations %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2016 %P 220-224 %V 9 %N 2 %U http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a10/ %G en %F JSFU_2016_9_2_a10
Nikolay A. Peryazev; Yulia V. Peryazeva; Ivan K. Sharankhaev. Minimal algebras of unary multioperations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 9 (2016) no. 2, pp. 220-224. http://geodesic.mathdoc.fr/item/JSFU_2016_9_2_a10/
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