Symmetric semigroups with three generators
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Published:2019-12-01
Issue:12
Volume:210
Page:1690-1701
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ISSN:1064-5616
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Container-title:Sbornik: Mathematics
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language:
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Short-container-title:Sb. Math.
Author:
Vorob’ev I. S.,Ustinov A. V.
Abstract
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.
Funder
Russian Science Foundation
Subject
Algebra and Number Theory