Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Studies on the structure of trusses and their applications to rings and braces

2019/35/B/ST1/01115

Keywords:

heap truss module group ring brace

Descriptors:

  • ST1_002:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet w Białymstoku, Wydział Matematyki

woj. podlaskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Kazimierz Brzeziński 

Number of co-investigators in the project: 6

Call: OPUS 18 - announced on 2019-09-16

Amount awarded: 206 040 PLN

Project start date (Y-m-d): 2020-06-22

Project end date (Y-m-d): 2024-03-21

Project duration:: 45 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (12)
  • Articles in post-conference publications (3)
  1. Affine Nijenhuis operators and Hochschild cohomology of trusses
    Authors:
    Tomasz Brzeziński, James Papworth
    Academic press:
    SIGMA (rok: 2023, tom: 19 (2023), strony: 056, 22 pages)
    Status:
    Published
    DOI:
    10.3842/SIGMA.2023.056 - link to the publication
  2. Heaps of modules and affine spaces
    Authors:
    Simion Breaz, Tomasz Brzeziński, Paolo Saracco, Bernard Rybołowicz
    Academic press:
    Annali di Matematica Pura ed Applicata (1923 -) (rok: 2024, tom: 203, strony: 403–445.), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-023-01369-0 - link to the publication
  3. From pre-trusses to skew braces
    Authors:
    T. Brzeziński, S. Mereta i B. Rybołowicz
    Academic press:
    Publicacions Matematiques (rok: 2022, tom: 66, strony: 683–714), Wydawca: UAB
    Status:
    Published
    DOI:
    10.5565/PUBLMAT6622206 - link to the publication
  4. On functors between categories of modules over trusses
    Authors:
    T. Brzeziński, B. Rybołowicz i P. Saracco
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2022, tom: Volume 226, Issue 11, strony: 107091), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2022.107091 - link to the publication
  5. On the algebra of elliptic curves
    Authors:
    Tomasz Brzeziński
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2023, tom: Volume 66, strony: 548 - 556), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0013091523000275 - link to the publication
  6. An algebraic framework for noncommutative bundles with homogeneous fibres
    Authors:
    T. Brzeziński i W. Szymański
    Academic press:
    Algebra and Number Theory (rok: 2021, tom: 15, strony: 217-240), Wydawca: Mathematical Sciences Publishers
    Status:
    Published
    DOI:
    10.2140/ant.2021.15.217 - link to the publication
  7. Lie and Nijenhuis brackets on affine spaces
    Authors:
    Tomasz Brzeziński, James Papworth
    Academic press:
    Bulletin of the Belgian Mathematical Society (rok: 2023, tom: 30, strony: 683 - 704), Wydawca: Belgian Mathematical Society
    Status:
    Published
    DOI:
    10.36045/j.bbms.231013 - link to the publication
  8. Ideal ring extensions and trusses
    Authors:
    R.R Andruszkiewicz, T. Brzeziński, B. Rybołowicz
    Academic press:
    Journal of Algebra
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2022.01.038 - link to the publication
  9. The Yang-Baxter matrix equation for involutions
    Authors:
    R.R. Andruszkiewicz i A. Smoktunowicz
    Academic press:
    Miskolc Mathematical Notes (rok: 2022, tom: Vol. 23, strony: 61–70)
    Status:
    Published
    DOI:
    10.18514/MMN.2022.3761 - link to the publication
  10. The Baer-Kaplansky theorem for all abelian groups and modules
    Authors:
    S. Breaz i T. Brzeziński
    Academic press:
    Bulletin of Mathematical Sciences , Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S1664360721500053 - link to the publication
  11. Irredundant families of maximal subgroups of finite solvable groups
    Authors:
    A. Stocka
    Academic press:
    International Journal of Group Theory (rok: 2023, tom: 12, strony: 163-176), Wydawca: N/A
    Status:
    Published
    DOI:
    10.22108/IJGT.2022.130778.1751 - link to the publication
  12. On retracts determining commutative trusses
    Authors:
    RR Andruszkiewicz & K Pryszczepko
    Status:
    Accepted for publication
  1. Homothetic Rota-Baxter systems and Dyckm-algebras
    Authors:
    Tomasz Brzeziński
    Conference:
    Lie Theory and its Applications in Physics (rok: 2023, tom: Lie Theory and Its Applications in Physics (LT-14), strony: 103-110), Wydawca: Springer
    Data:
    konferencja 21-25.06.2021
    Status:
    Published
    DOI:
    10.1007/978-981-19-4751-3_7 - link to the publication
  2. Lie trusses and heaps of Lie affebras
    Authors:
    Tomasz Brzeziński
    Conference:
    PoS Proceedings of Science (rok: 2022, tom: 406, strony: 12), Wydawca: SISSA
    Data:
    konferencja 29.08-09.10.2021
    Status:
    Published
    DOI:
    10.22323/1.406.0307 - link to the publication
  3. Special normalised affine matrices. An example of a Lie affgebra
    Authors:
    Tomasz Brzeziński
    Conference:
    Status:
    Accepted for publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy