A. V. Cheremushkin, “Partially invertible strongly dependent $n$-ary operations”, Sb. Math., 211:2 (2020), 291

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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

$n$ -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

$n$ -quasigroups with the weak invertibility condition and of Belousov's theorem with a description of

(i, j)

$(i,j)$ -associative

n

$n$ -quasigroups for the case of strongly dependent

n

$n$ -ary semigroup operations on a finite set.
Bibliography: 8 titles.

Keywords:

n

$n$ -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

$n$ -ary operations”, Sb. Math., 211:2 (2020), 291–308

Citation in format AMSBIB

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\vol 211

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Linking options:

https://www.mathnet.ru/eng/sm9204

https://doi.org/10.1070/SM9204

https://www.mathnet.ru/eng/sm/v211/i2/p141

This publication is cited in the following 7 articles:

A. V. Cheremushkin, “Medialnye i paramedialnye algebry cilno zavisimykh operatsii”, PDM. Prilozhenie, 2024, no. 17, 19–23
A. V. Cheremushkin, “Paramedialnye cilno zavisimye $n$ -arnye operatsii”, Diskret. matem., 36:3 (2024), 115–126
A. V. Cheremushkin, “Obobschennye tozhdestva medialnosti i paramedialnosti dlya cilno zavisimykh operatsii”, PDM, 2024, no. 65, 21–40
A. V. Cheremushkin, “Funktsionalnoe tozhdestvo obschei tranzitivnosti dlya silno zavisimykh operatsii”, Diskret. matem., 35:4 (2023), 146–156
Aleksandr V. Cheremushkin, “Medial strongly dependent n-ary operations”, 31, no. 4, 2021, 251
A. V. Cheremushkin, “Medialnye cilno zavisimye $n$ -arnye operatsii”, Diskret. matem., 32:2 (2020), 112–121
V. P. Tsvetov, “Polugruppy binarnykh operatsii i kriptosistemy na gruppoidakh”, Vestn. SamU. Estestvennonauchn. ser., 26:1 (2020), 23–51

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	395
Russian version PDF:	50
English version PDF:	30
References:	52
First page:	7

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