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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2020-21-1-368-373</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-804</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Краткие сообщения</subject></subj-group></article-categories><title-group><article-title>Канонический базис Гензеля - Шафаревича для формальных модулей Хонды</article-title><trans-title-group xml:lang="en"><trans-title>The Hensel-Shafarevich canonical basis in Honda formal modules</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Востоков</surname><given-names>Сергей Владимирович</given-names></name><name name-style="western" xml:lang="en"><surname>Vostokov</surname><given-names>Sergey Vladimirovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор физико-математических наук, профессор, профессор кафедры высшей алгебры и теории чисел</p></bio><bio xml:lang="en"><p>doctor of physical and mathematical Sciences, Professor, Professor of algebra and number theory Department</p></bio><email xlink:type="simple">sergei.vostokov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Востокова</surname><given-names>Регина Петровна</given-names></name><name name-style="western" xml:lang="en"><surname>Vostokova</surname><given-names>Regina Petrovna</given-names></name></name-alternatives><bio xml:lang="ru"><p>старший преподаватель, кафедра общей математики и информатики</p></bio><bio xml:lang="en"><p>Senior Lecturer, Department of General Mathematics and Computer Science</p></bio><email xlink:type="simple">rvostokova@yandex.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Иконникова</surname><given-names>Елена Валерьевна</given-names></name><name name-style="western" xml:lang="en"><surname>Ikonnikova</surname><given-names>Elena Valerevna</given-names></name></name-alternatives><bio xml:lang="ru"><p>инженер-исследователь, факультет математики и компьютерных наук</p></bio><bio xml:lang="en"><p>Research Engineer, Faculty of Mathematics and Computer Science</p></bio><email xlink:type="simple">ikonnikovaev@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg University</institution><country>Russian Federation</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Санкт-Петербургский государственный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>St. Petersburg State University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>25</day><month>04</month><year>2020</year></pub-date><volume>21</volume><issue>1</issue><fpage>368</fpage><lpage>373</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Востоков С.В., Востокова Р.П., Иконникова Е.В., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Востоков С.В., Востокова Р.П., Иконникова Е.В.</copyright-holder><copyright-holder xml:lang="en">Vostokov S.V., Vostokova R.P., Ikonnikova E.V.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/804">https://www.chebsbornik.ru/jour/article/view/804</self-uri><abstract><p>В данной работе мы строим систему образующих Гензеля - Шафаревича для формальных модулей Хонды над многомерным полем. В дальнейшем это даст возможность вычисления символа Гильберта в описанной ситуации.</p></abstract><trans-abstract xml:lang="en"><p>In this paper, we construct Hensel–Shafarevich generating set in Honda formal modules over a higher dimensional field. Later, that should allow us to compute Hilbert symbol in this case.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>формальные группы</kwd><kwd>формальные модули</kwd></kwd-group><kwd-group xml:lang="en"><kwd>formal groups</kwd><kwd>formal modules</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title></ref-list><fn-group><fn fn-type="conflict"><p>The authors declare that there are no conflicts of interest present.</p></fn></fn-group></back></article>
