Dmitry Alexandrovich Kudryakov

@eimi.ru

Research Engineer, Saint Petersburg State University, Department of Mathematics and Computer Science
Leonhard Euler International Mathematical Institute in Saint Petersburg

Dmitry Alexandrovich Kudryakov


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EDUCATION

1. Ural Federal University Lyceum. Secondary School (Mathematics, physics and astronomy). Yekaterinburg, 2018.
2. Saint Petersburg State University. Faculty of Applied Mathematics and Control Processes. Bachelor of Science in Applied Mathematics. Saint Petersburg, 2022.
3. Saint Petersburg State University. Faculty of Mathematics and Computer Science. Master of Science in Mathematics. Saint Petersburg, 2024.

RESEARCH, TEACHING, or OTHER INTERESTS

Algebra and Number Theory
2

Scopus Publications

Scopus Publications

  • Noetherian rings of non-local rank
    Dmitry Kudryakov
    Communications in Algebra, 2026
    The rank of a ring R is the supremum of minimal cardinalities of generating sets of I, among all ideals I in R. In this paper, we obtain a characterization of Noetherian rings R whose rank is not equal to the supremum of ranks of localizations of R at maximal ideals. It turns out that any such ring is a direct product of a finite number of local principal Artinian rings and Dedekind domains, at least one of which is not a principal ideal ring. As an application, we show that the rank of the ring of polynomials over an Artinian ring can be computed locally.
  • A new stability criterion and its application to robust stability analysis for linear systems with distributed delays
    Dmitry A. Kudryakov, Irina V. Alexandrova
    Automatica, 2023

GRANT DETAILS

1. Exponential stability criterion for linear systems with distributed delay and its application to robust stability problem. 2021-12 to 2022-05. Contract. Leonhard Euler International Mathematical Institute (Saint Petersburg, RU. GRANT_NUMBER: 075–15–2019–1619).