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Diskretnaya Matematika, 2015, Volume 27, Issue 4, Pages 79–93
DOI: https://doi.org/10.4213/dm1349 (Mi dm1349) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Galois theory for clones and superclones

N. A. Peryazeva, I. K. Sharankhaevb

a Saint Petersburg Electrotechnical University "LETI"
b Buryat State University
Full-text PDF (461 kB) Citations (6)
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DOI: https://doi.org/10.4213/dm1349
Abstract: We study clones (closed sets of operations that contain projections) and superclones on finite sets. According to A. I. Mal'tsev a clone may be considered as an algebra. If we replace algebra universe with a set of multioperations and add the operation of simplest equation solvability then we will obtain an algebra called a superclone. The paper establishes Galois connection between clones and superclones.
Keywords: clone, superclone, operation, multioperation, superposition.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-000351a
Research was supported by RFBR, project number 12-01-000351a.
Received: 20.06.2015
English version:
Discrete Mathematics and Applications, 2016, Volume 26, Issue 4, Pages 227–238
DOI: https://doi.org/10.1515/dma-2016-0020
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. A. Peryazev, I. K. Sharankhaev, “Galois theory for clones and superclones”, Diskr. Mat., 27:4 (2015), 79–93; Discrete Math. Appl., 26:4 (2016), 227–238
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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