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Diskretnaya Matematika, 2017, Volume 29, Issue 3, Pages 54–69
DOI: https://doi.org/10.4213/dm1452 (Mi dm1452) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Closed classes of polynomials modulo $p^2$

D. G. Meshchaninov

National Research University "Moscow Power Engineering Institute"
Full-text PDF (1225 kB) Citations (4)
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DOI: https://doi.org/10.4213/dm1452
Abstract: We consider functions of $p^2$-valued logic ($p$ is prime) that may be implemented by polynomials over the ring ${\mathbb Z}_{p^2}$, and describe all closed classes that contain linear functions. It turns out that the set of these classes is countable. We also construct the lattice of such classes with respect to inclusion.
Keywords: $k$-valued logic, closed class, clone, polynomials over a ring of residues, lattice of closed classes.
Received: 05.05.2017
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 3, Pages 167–178
DOI: https://doi.org/10.1515/dma-2018-0016
Bibliographic databases:
UDC: 519.716
Language: Russian
Citation: D. G. Meshchaninov, “Closed classes of polynomials modulo $p^2$”, Diskr. Mat., 29:3 (2017), 54–69; Discrete Math. Appl., 28:3 (2018), 167–178
Citation in format AMSBIB
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\paper Closed classes of polynomials modulo $p^2$
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  • https://doi.org/10.4213/dm1452
  • https://www.mathnet.ru/eng/dm/v29/i3/p54
    • This publication is cited in the following 4 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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