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Sbornik: Mathematics, 2019, Volume 210, Issue 12, Pages 1690–1701
DOI: https://doi.org/10.1070/SM9262 (Mi sm9262) 		 
Symmetric semigroups with three generators

I. S. Vorob'ev, A. V. Ustinov

Pacific National University, Khabarovsk, Russia
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DOI: https://doi.org/10.1070/SM9262
Abstract: In the theory of numerical semigroups the Frobenius problem of finding the largest integer that does not belong to the given semigroup plays an important role. The study of the Frobenius problem suggests distinguishing the class of symmetric semigroups, which have a quite simple structure. The main result in this work is an asymptotic formula describing the growth of the number of symmetric semigroups with three generators.
Bibliography: 18 titles.
Keywords: numerical semigroup, Frobenius problem.
Funding agency Grant number
Russian Science Foundation 18-41-05001
This work was supported by the Russian Science Foundation under project no. 18-41-05001.
Received: 15.04.2019 and 15.05.2019
Russian version:
Matematicheskii Sbornik, 2019, Volume 210, Number 12, Pages 31–42
DOI: https://doi.org/10.4213/sm9262
Bibliographic databases:
Document Type: Article
UDC: 511.33+512.53
MSC: Primary 20M14; Secondary 11B13, 11D04, 11D45
Language: English
Original paper language: Russian
Citation: I. S. Vorob'ev, A. V. Ustinov, “Symmetric semigroups with three generators”, Mat. Sb., 210:12 (2019), 31–42; Sb. Math., 210:12 (2019), 1690–1701
Citation in format AMSBIB
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    Russian version PDF:30
    English version PDF:6
    References:30
    First page:15
     
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