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Sbornik: Mathematics, 2020, Volume 211, Issue 2, Pages 291–308
DOI: https://doi.org/10.1070/SM9204 (Mi sm9204) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Partially invertible strongly dependent $n$-ary operations

A. V. Cheremushkin

Research Institute "Kvant", Moscow, Russia
English version PDF (478 kB) Citations (7) Russian version article
References:
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DOI: https://doi.org/10.1070/SM9204
Abstract: We prove analogues of Malyshev's theorems on the structure of finite $n$-quasigroups with the weak invertibility condition and of Belousov's theorem with a description of $(i,j)$-associative $n$-quasigroups for the case of strongly dependent $n$-ary semigroup operations on a finite set.
Bibliography: 8 titles.
Keywords: $n$-ary semigroup, strongly dependent operation, weakly invertible operation.
Received: 05.12.2018 and 04.07.2019
Bibliographic databases:
Document Type: Article
UDC: 512.53+512.548.2+512.548.4
MSC: Primary 20N15; Secondary 20N05
Language: English
Original paper language: Russian
Citation: A. V. Cheremushkin, “Partially invertible strongly dependent $n$-ary operations”, Sb. Math., 211:2 (2020), 291–308
Citation in format AMSBIB
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\by A.~V.~Cheremushkin
\paper Partially invertible strongly dependent $n$-ary operations
\jour Sb. Math.
\yr 2020
\vol 211
\issue 2
\pages 291--308
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  • https://doi.org/10.1070/SM9204
  • https://www.mathnet.ru/eng/sm/v211/i2/p141
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:348
    Russian version PDF:41
    English version PDF:18
    References:40
    First page:6
     
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