Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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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_2: Algebra

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.

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 (36)
  • Articles in post-conference publications (6)
  1. Skew two-sided bracoids
    Authors:
    I.A. Malinowska
    Academic press:
    (rok: 2024, )
    Status:
    Submitted
    DOI:
    link to the publication
  2. 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
  3. 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
  4. 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
  5. A remark on the Hochschild dimension of liberated quantum groups
    Authors:
    Tomasz Brzeziński, Ulrich Kraehmer, Reammon Ó Buachalla, Karen Strung
    Academic press:
    Journal of Noncommutative Geometry (rok: 2022, tom: brak danych, strony: 7), Wydawca: EMS
    Status:
    Submitted
  6. Heaps of modules, categorical aspects
    Authors:
    Simion Breaz, Tomasz Brzezinski, Bernard Rybolowicz, Paolo Saracco
    Academic press:
    Forum of Mathematics - Sigma (rok: 2023, tom: N/A, strony: N/A), Wydawca: MSP
    Status:
    Submitted
  7. The Yang-Baxter matrix equation for involutions
    Authors:
    R.R. Andruszkiewicz i A. Smoktunowicz
    Academic press:
    Miskolc Mathematical Notes
    Status:
    Accepted for publication
  8. 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
  9. 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
  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. On functors between categories of modules over trusses
    Authors:
    T. Brzeziński, B. Rybołowicz i P. Saracco
    Academic press:
    Journal of Pure and Applied Algebra , Wydawca: Elsevier
    Status:
    Accepted for publication
  12. Heaps of modules and affine spaces
    Authors:
    Simion Breaz, Tomasz Brzeziński, Paolo Saracco, Bernard Rybołowicz
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, tom: brak danych, strony: brak danych), Wydawca: World Scientific
    Status:
    Submitted
    DOI:
    link to the publication
  13. 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
  14. 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
  15. 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
  16. 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
  17. On the algebra of elliptic curves
    Authors:
    Tomasz Brzeziński
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2022, tom: brak danych, strony: brak danych), Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    link to the publication
  18. On retracts determining commutative trusses
    Authors:
    R.R. Andruszkiewicz i K. Pryszczepko
    Academic press:
    Journal of Pure and Applied Algebra
    Status:
    Submitted
  19. Irredundant families of maximal subgroups of finite solvable groups
    Authors:
    A. Stocka
    Academic press:
    International Journal of Group Theory
    Status:
    Accepted for publication
    DOI:
    10.22108/IJGT.2022.130778.1751 - link to the publication
  20. On retracts determining commutative trusses
    Authors:
    R.R. Andruszkiewicz i K. Pryszczepko
    Academic press:
    Journal of Pure and Applied Algebra
    Status:
    Submitted
  21. Irredundant families of maximal subgroups of finite solvable groups
    Authors:
    A. Stocka
    Academic press:
    International Journal of Group Theory
    Status:
    Accepted for publication
    DOI:
    10.22108/IJGT.2022.130778.1751 - link to the publication
  22. 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
  23. From pre-trusses to skew braces
    Authors:
    T. Brzeziński, S. Mereta i B. Rybołowicz
    Academic press:
    Publicacions Matematiques
    Status:
    Accepted for publication
  24. 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
  25. 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
  26. 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
  27. From pre-trusses to skew braces
    Authors:
    T. Brzeziński, S. Mereta i B. Rybołowicz
    Academic press:
    Publicacions Matematiques
    Status:
    Accepted for publication
  28. A remark on the Hochschild dimension of liberated quantum groups
    Authors:
    Tomasz Brzeziński, Ulrich Kraehmer, Reammon Ó Buachalla, Karen Strung
    Academic press:
    Journal of Noncommutative Geometry (rok: 2022, tom: brak danych, strony: 7), Wydawca: EMS
    Status:
    Submitted
  29. On functors between categories of modules over trusses
    Authors:
    T. Brzeziński, B. Rybołowicz i P. Saracco
    Academic press:
    Journal of Pure and Applied Algebra , Wydawca: Elsevier
    Status:
    Accepted for publication
  30. 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
  31. Translation Hopf algebras and Hopf heaps
    Authors:
    Tomasz Brzeziński, Małgorzata Hryniewicka
    Academic press:
    Algebras and Representation Theory (rok: 2023, tom: N/A, strony: N/A), Wydawca: Springer
    Status:
    Submitted
    DOI:
    link to the publication
  32. On retracts determining commutative trusses
    Authors:
    RR Andruszkiewicz & K Pryszczepko
    Academic press:
    Journal of Algebra and Computation (rok: 2023, tom: 33, strony: 499-508), Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1142/S0218196723500248 - link to the publication
  33. On retracts determining commutative trusses
    Authors:
    RR Andruszkiewicz & K Pryszczepko
    Academic press:
    Journal of Algebra and Computation (rok: 2023, tom: nn, strony: nn), Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    10.1142/S0218196723500248 - link to the publication
  34. The Yang-Baxter matrix equation for involutions
    Authors:
    R.R. Andruszkiewicz i A. Smoktunowicz
    Academic press:
    Miskolc Mathematical Notes
    Status:
    Accepted for publication
  35. 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
  36. 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
  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:
    Proceedings of the XL Workshop on Geometric Methods in Physics (rok: 2024, tom: XL Workshop on Geometric Methods in Physics, strony: N/A), Wydawca: Birkhauser
    Data:
    konferencja 45108
    Status:
    Accepted for publication
  4. 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
  5. On matrix Lie affgebras
    Authors:
    Tomasz Brzeziński, Krzysztof Radziszewski
    Conference:
    (rok: 2024, tom: NonCommutative Rings and their Applications, VIII, strony: ), Wydawca: AMS
    Data:
    konferencja 28-31.08.2023
    Status:
    Submitted
    DOI:
    link to the publication
  6. 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

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