THE ONLINE PERIODICAL JOURNAL
Mathematics and Theoretical
Computer Science
The Journal of Mathematics and Theoretical Computer Science is a high-quality periodical journal which deals with all research areas of mathematics and theoretical computer science appearing in digital and printed form since 2023.

With its free-of-charge policy for both authors and readers, Regular Issues and Special Issues
on selected topics organized by guest editors thus continuously serve as one of the major knowledge bases for the international research community in mathematics and computer science.
Overview
The Journal of Mathematics and Theoretical Computer Science (J.MTCS) welcomes original research contributions and in-depth surveys from all areas of mathematics and theoretical computer science (see also List of Topics). There are no submission or publication fees for authors!

Since J.MTCS is an open access, no-cost journal, the J.MTCS Publishing Team cannot offer any copy-editing. Therefore, your submission will only be dealt with if your paper is written in flawless English and is formatted according with the J.MTCS Style.

Publisher: Kazan Federal University
Publishing and Journal Management: Volga Region Mathematical Center
Datahouse: Kazan Federal University, Kremlevskaja, 18
420008, Kazan, RUSSIA

The publication of the journal is supported by the Volga Region Mathematical Center.

Homepage: https://mathcenter.kpfu.ru/mtcsen
Online ISSN: 2949-3919
Email: mathematics.tcs@gmail.com
Phone: +7 843 233-70-60

List of Topics
  • real, complex and functional analysis
  • differential equations, dynamical systems and optimal control
  • mathematical physics
  • geometry and topology
  • probability theory and mathematical statistics
  • mathematical logic, algebra and number theory
  • computational mathematics
  • discrete mathematics and mathematical cybernetics
  • computability and complexity theory
  • mathematical methods in artificial intelligence

Editorial Board
Arslanov M.M., Editor-in-Chief
Kazan Federal University, marat.arslanov@kpfu.ru
Bikchentaev A.M., Deputy Editor-in-Chief
Kazan Federal University, airat.bikchentaev@kpfu.ru
Kalimullin I.Sh., Deputy Editor-in-Chief
Kazan Federal University, ikalimul@gmail.com
Faizrahmanov M.Kh., Deputy Editor-in-Chief
Kazan Federal University, marat.faizrahmanov@gmail.com
Tapkin D.T., Managing secretary
Kazan Federal University, danil.tapkin@yandex.ru
Abyzov A.N.
Kazan Federal University, adel.abyzov@kpfu.ru
Avkhadiev F.G.
Kazan Federal University, farit.avhadiev@kpfu.ru
Astashkin S.V.
Samara University, astash56@mail.ru
Volodin A.I.
University of Regina, Regina, Canada, andrei.volodin@uregina.ca
Vostokov S.V.
Saint Petersburg State University, s.vostokov@spbu.ru
German O.N.
Lomonosov Moscow State University, german.oleg@gmail.com
Danchev P.V.
Institute of Mathematics and Informatics, Sofia, Bulgaria
danchev@math.bas.bg
Kayumov I.R.
Kazan Federal University, ikayumov@gmail.com
Mishchenko A.S.
Lomonosov Moscow State University, asmish-prof@yandex.ru
Nasyrov S.R.
Kazan Federal University, snasyrov@kpfu.ru
Popov A.A.
Kazan Federal University, apopov@kpfu.ru
Semenov A.L.
Lomonosov Moscow State University, alsemno@ya.ru
Tuganbaev A.A.
National research university "MPEI", tuganbaev@gmail.com
Turilova A.A.
Kazan Federal University, eturilova@gmail.com
Fomenko A.T.
Lomonosov Moscow State University, atfomenko@mail.ru
Gizatullina L.Sh., technical secretary
Kazan Federal University, l.gizatullina@kpfu.ru
Contents
Issue 1

Bekker B.M., Vostokov S.V., Vostokova R.P.
Hilbert's Nullstellensatz
pp. 3−15
Download PDF   DOI: 10.26907/2949-3919.2024.1.3-15

Bikchentaev A.M., Mohamed Ali M., Fawwaz Khattab
On classes of symmetric and asymmetric concrete logics
pp. 16−30
Download PDF   DOI: 10.26907/2949-3919.2024.1.16-30

Glazatov V.A., Sakbaev V.Zh.
On the extension of singular linear infinite-dimensional Hamiltonian flows
pp. 31−54
Download PDF   DOI: 10.26907/2949-3919.2024.1.31-54

Kasymov N.Kh.
Locally finite and finitely approximated unoids over computably separable equivalences
pp. 55−73
Download PDF   DOI:10.26907/2949-3919.2024.1.55-73

Morozov A.S.
On Σ-presentations of the additive group of the real numbers
pp. 74−93
Download PDF   DOI:10.26907/2949-3919.2024.1.74-93

Nodirov Sh.D., Faizrahmanov M.Kh.
Some properties of classes of minimal numberings of arithmetical set families
pp. 94−108
Download PDF   DOI:10.26907/2949-3919.2024.1.94-108

Download the entire issue PDF
Bazhenov N.A.
On learning for families of algebraic structures
pp. 3-21
Download PDF

Ershov Yu.L., Schwidefsky M.V.
On function spaces. III
pp. 22-32
Download PDF

Kalimullin I.Sh., Puzarenko V.G.
Numberings in the admissible sets over equivalence relations
pp. 33-45
Download PDF

Sevostyanova V.V.
Invariants of equivalence classes of tight frames
pp. 46-58
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Khabibullin B.N., Kudasheva E.G.
Subharmonic additions to Beurling – Malliavin Theorems. I. On the multiplier
pp. 59-76
Download PDF

Student articles

Bagaviev R.R.
Special splitting in the 2-c.e. Turing degrees
pp. 77-91
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Mathematical life

Announcements about conferences with the support of the Volga Region Mathematical Center
p. 92
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PDF
Abyzov A.N.
Density theorems and its applications
pp. 3-34
Download PDF  DOI: 10.26907/2949-3919.2023.4.3-34

Bikchentaev A.M., Khadour M.
Differences of idempotents in C*-algebras and the quantum Hall effect. II. Unbounded idempotents
pp. 35-48
Download PDF  DOI: 10.26907/2949-3919.2023.4.35-48

Demidenko G.V., Wang Z.
Localization of the matrix spectrum and Lyapunov type equations
pp. 49-66
Download PDF  DOI: 10.26907/2949-3919.2023.4.49-66

Kalimullin I.Sh.
Degrees of selector functions and relative computable categoricity
pp. 67-80
Download PDF  DOI: 10.26907/2949-3919.2023.4.67-80

Kulguskin I.A., Tapkin D.T.
Involutions of Ks(R)
pp. 81-104
Download PDF  DOI: 10.26907/2949-3919.2023.4.81-104

Khabibullin B.N., Kudasheva E.G.
Subharmonic additions to the Beurling–Malliavin Theorems. II. On the completeness radius
pp. 105-117
Download PDF  DOI: 10.26907/2949-3919.2023.4.105-117

Mathematical life

The medal and prize named after N.I. Lobachevsky were awarded at the Kazan Federal University
pp. 118-119
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Download the entire issue
PDF
How to submit a paper
Contributions falling within the scope of the journal are invited, and electronic submission of a PDF file with a separate covering message with "J.MTCS Submission" in the subject line can be made to the Editorial Board (mathematics.tcs@gmail.com).

Before submitting an article, please make sure that the submitted article:
1
fits into the scope of J. MTCS (refer to List of Topics) and meets the general standards of scientific publication ethics
2
is formatted according with the J.MTCS Style
3
is written in flawless English. Since J.MTCS is an open access, no-cost journal, the J.MTCS Publishing Team cannot offer any copy-editing.
4
is an original contribution and may not be submitted to or already have been published in another journal. Furthermore, the article has to be a self-contained entity, i.e. the paper can be understood without knowledge of any previous articles published in J.MTCS or elsewhere
5
If the submitted article is an extended version of a paper published in proceedings originally presented at a conference or a workshop, the submission must contain about 50% new material and the title of the extended version must clearly and unmistakably differ from the title of the article presented at the conferenc
If your article meets all five criteria, the submission process can be initiated:
1
Please use the Submission Platform to submit your paper together with the Publishing Agreement. By submitting the article, the corresponding author confirms (on behalf of all co-authors) that the submission fulfils all requirements stated in the Publishing Agreement. There are no submission or publication charges. Please download the Publishing Agreement in your preferred file format, fill in the form, sign the agreement, and finally transfer a PDF file of the signed agreement together with your submission files.
2
Authors of submitted papers give an explicit permission to plagiarism check of their submitted (and accepted) articles.
3
An author can only submit one article at a time. Multiple submissions are not accepted.
After submission your article enters the review process: Each submitted article that fulfills the formal criteria undergoes a thorough evaluation by reviewers. In case there are great differences or strong contradicting opinions, another reviewer can be included.

If the first or the revised version is accepted, your paper finally enters the publishing process:

1
After a final plagiarism check and check of the camera-ready copy of the paper, the article will be published in the next J.MTCS Regular Issue.
2
The duration of the entire evaluation and publication process depends on the quality of the submission. All articles pass the process in 4 — 6 months from submission to publication.

Article Categories
J.MTCS welcomes original research contributions and in-depth surveys.

(a) Research contributions: This is the main focus of J.MTCS, the majority of papers will be in this area. Papers should be accepted only if they contain innovative aspects that are sufficiently discussed in context of state-of-the-art and related work.

(b) In-depth Surveys: This sub-section addresses comprehensive literature surveys covering novel findings by sound research methodologies. In addition, such contributions are judged on whether they are well written and structured, and give an unbiased and complete survey which contributes to the body of knowledge for a broader community in the field.

Special Issues
J.MTCS welcomes special issues on any topic that falls within the scope of the journal. Proposed Special Issues will be reviewed by a scientific panel. Emerging subjects relevant to a broader research community and organized by guest editors with proven publication records and involvement in research networks related to the proposed topic are preferably accepted.
In the following, you'll find the guidelines which apply to the publication of a special issue and which the guest editors are kindly asked to observe (Click to expand)
1. Guest editors send their proposal (see also below) to the J.MTCS Publishing Team (mathematics.tcs@gmail.com) with the subject "Special Issue Proposal".

2. Only guest editors who are members of J.MTCS editorial board or who have published at least 5 articles which are listed in either Scopus, Clarivate and Google Scholar, or. Guest Editors with previous experiences in organizing special issues will be preferably accepted as guest editors.

3. Expertise in the proposed topic of the special issue and the participation of guest editors in relevant communities are key to producing a high-quality special issue.

4. A guest editor can only submit one proposal at a time. A new proposal can only be submitted after the citation frequency of the previous special issue edited by the same guest editor has been evaluated. Lack of citations can lead to a rejection of the proposal.

5. In addition, all related topics must be covered by the group of reviewers to guarantee high quality reviews and excellent selected papers for the special issue.

6. Finally, an appropriate plan for the distribution and promotion of the call for papers is important to attract a large number of contributions from high-quality researchers to ensure the success of the Special Issue.

7. If the special issue includes extended versions originally presented at a conference or a workshop, a public call for papers must also be made and the issue must contain at least two papers that originate from the public call for papers. The extended version of papers originally presented at a conference or workshop must present substantially new material and the title of the extended version must clearly and unmistakably differ from the title of the article presented at the conference. The conference paper must be considered in the review process and made available together with the reviews of the special issue article.

8. The papers can only be accepted for publication after a rigorous review process. The authors can be informed about the acceptance of their papers only after the decision has been confirmed by the J.MTCS office.

9. All accepted articles will be subjected to a plagiarism check before publication.

10. Each author may publish only two papers in one issue (as sole author or co-author).

11. The guest editors inform on a regular basis the J.MTCS office about the progress of the preparations as well as the number of submitted, rejected and accepted papers.

12. The guest editors take care of the review process so that only final versions are sent to the J.MTCS office. The final versions of the papers must be submitted in J.MTCS style.

13. The authors must sign a publishing agreement for their papers.

14. The guest editor provides an introduction to the issue (at least one page long).

15. The guest editors vouch with their names and academic reputation for the quality of the papers.
Special Issue Proposal (Click to expand)
The special issue proposal must be based on the J.MTCS Special Issue Proposal template and include the following information
Focus and motivation for the special issue: The focus and the motivation for the proposed special issue must be outlined.

• List of related topics: The most important topics related to the proposed special issue must be listed.

• Guest editors: A short biography of the guest editors, focusing on their expertise in the proposed topic and involvement in relevant communities, must be included. References to Scopus, Clarivate , and Google Scholar should be added.

• Deadlines: An appropriate schedule of key deadlines, including paper submission, notification of acceptance, etc., must be outlined.

• List of reviewers: A preliminary list of reviewers for the special issue (names, links to their homepages and areas of expertise) is required. It is mandatory that all related topics of the issue are covered by the group of reviewers. It is assumed that the reviewers have already been invited and partially accepted before the submission of the proposal.

• Distribution and promotion: A plan for the distribution and promotion of the special issue call and how to attract high quality submissions must be attached.

• Draft call for papers: A call for papers (which is a modified version of the proposal) must be submitted together with the proposal.
FOR ALL QUESTIONS AND SUGGESTIONS, YOU CAN CONTACT IN MANY WAYS
mathematics.tcs@gmail.com
+7 843 233-70-60

Kazan (Volga Region) Federal University

Volga Region Mathematical Center

420008, Russian Federation, Kazan, Kremlevskaya 18

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e-mail: mathematics.tcs@gmail.com