Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Behavior of properties of rings and modules under specified constructions

2011/03/B/ST1/04893

Keywords:

rings modules radicals annihilators dimensions skew polynomial rings skew power series rings

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 Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Jerzy Matczuk 

Number of co-investigators in the project: 4

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 376 220 PLN

Project start date (Y-m-d): 2012-08-07

Project end date (Y-m-d): 2016-01-06

Project duration:: 41 months (the same as in the proposal)

Project status: Project settled

Information in the final report

  • Publication in academic press/journals (22)
  • Articles in post-conference publications (4)
  1. On prime ideals and radicals of polynomial rings and graded rings
    Authors:
    P. -H. Lee, E. R. Puczyłowski
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2014, tom: 218, strony: 323-332), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2013.06.004 - link to the publication
  2. On right McCoy rings and right McCoy rings relative to u.p.-monoids
    Authors:
    R. Mazurek, M. Ziembowski
    Academic press:
    Communications in Contemporary Mathematics (rok: 2015, tom: 17, strony: 1550049 (10 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199715500492 - link to the publication
  3. On semilocal, Bezout and distributive generalized power series rings
    Authors:
    R. Mazurek, M. Ziembowski
    Academic press:
    International Journal of Algebra and Computation (rok: 2015, tom: 25, strony: 725-744), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0218196715500174 - link to the publication
  4. GK dimension and locally nilpotent skew derivations
    Authors:
    Jeffrey Bergen, Piotr Grzeszczuk
    Academic press:
    Glasgow Mathematical Journal (rok: 2014, tom: FirstView, strony: 13 pages), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0017089514000482 - link to the publication
  5. Gelfand-Kirillov dimension of algebras with locally nilpotent derivations
    Authors:
    Jeffrey Bergen, Piotr Grzeszczuk
    Academic press:
    Israel Journal of Mathematics (rok: 2015, tom: 206, strony: 313-325), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-015-1152-1 - link to the publication
  6. Skew derivations and the nil and prime radicals
    Authors:
    Jeffrey Bergen, Piotr Grzeszczuk
    Academic press:
    Colloquium Mathematicum (rok: 2012, tom: 128, strony: 229-236), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm128-2-8 - link to the publication
  7. Veldsman's classes of associative rings
    Authors:
    M. Nowakowska, E. R. Puczyłowski
    Academic press:
    Acta Mathematica Hungarice (rok: 2015, tom: 146(2), strony: 466-495), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10474-015-0506-9 - link to the publication
  8. A note on the corank of abelian groups
    Authors:
    Marco Perone, Edmund R. Puczyłowski
    Academic press:
    Publicationes Mathemaciea-Debrecen (rok: 2014, tom: 85, strony: 387-394), Wydawca: KOSSUTH LAJOS TUDOMANYEGYETEM
    Status:
    Published
    DOI:
    10.5486/PMD.2014.5983 - link to the publication
  9. Idempotents in ring extensions
    Authors:
    Pramod Kanwar, Andre Leroy, Jerzy Matczuk
    Academic press:
    Journal of Algebra (rok: 2013, tom: 389, strony: 128-136), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.05.010 - link to the publication
  10. Invariants of domains with finite GK dimension
    Authors:
    Jeffrey Bergen, Piotr Grzeszczuk
    Academic press:
    Monatshefte fur Mathematik (rok: 2015, tom: OnlineFirst, strony: 9 pages), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00605-015-0735-6 - link to the publication
  11. On semi-Armendariz matrix rings
    Authors:
    K. Kozłowski, R. Mazurek
    Academic press:
    Journal of the Korean Mathematical Society (rok: 2015, tom: 52, strony: 781-795), Wydawca: Korean Mathematical Society
    Status:
    Published
    DOI:
    10.4134/JKMS.2015.52.4.781 - link to the publication
  12. Skew derivations with algebraic invariants of bounded degree
    Authors:
    Jeffrey Bergen, Piotr Grzeszczuk
    Academic press:
    Journal of Algebra (rok: 2016, tom: 447, strony: 445-467), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.006 - link to the publication
  13. A note on dimension modules
    Authors:
    C. Lomp, E.R. Puczyłowski
    Academic press:
    Communications in Algebra (rok: 2015, tom: 1,79583333333333, strony: 2267-2271), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2014.890725 - link to the publication
  14. Commuting idempotents, squaree-free modules, and the exchange property
    Authors:
    R. Mazurek, P.P. Nielsen, M. Ziembowski,
    Academic press:
    Journal of Algebra (rok: 2015, tom: 444, strony: 52-80), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.07.015 - link to the publication
  15. On a characterization of distributive rings via saturations and its applications to Armendariz and Gaussian rings
    Authors:
    Ryszard Mazurek, Michał Ziembowski
    Academic press:
    Revista Matemática Iberoamericana (rok: 2014, tom: 30, strony: 1073-1088), Wydawca: European Mathematical Society
    Status:
    Published
    DOI:
    10.4171/RMI/807 - link to the publication
  16. On the Jacobson radical of constants of derivations
    Authors:
    Piotr Grzeszczuk
    Academic press:
    Journal of Algebra (rok: 2014, tom: 401, strony: 62-75), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.11.024 - link to the publication
  17. Semigroups whose endomorphisms are power functions
    Authors:
    Ryszard Mazurek
    Academic press:
    Semigroup Forum (rok: 2014, tom: 88, strony: 67–75), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00233-013-9501-z - link to the publication
  18. Zip property of certain ring extensions
    Authors:
    Andre Leroy, Jerzy Matczuk
    Academic press:
    JOURNAL OF PURE AND APPLIED ALGEBRA (rok: 2016, tom: 220, strony: 335-345), Wydawca: Elsevier B.V.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2015.06.015 - link to the publication
  19. On some questions related to Koethe's nil ideal problem
    Authors:
    M. A. Chebotar, P. -H. Lee, E. R. Puczyłowski
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2016, tom: 59(1), strony: 57-64), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0013091514000273 - link to the publication
  20. Rota–Baxter operators on skew generalized power series rings
    Authors:
    Ryszard Mazurek
    Academic press:
    Journal of Algebra and Its Applications (rok: 2014, tom: 13, strony: 1450048 (10 pages)), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219498814500480 - link to the publication
  21. Conjugate (nil) clean rings and Koethe's problem
    Authors:
    Jerzy Matczuk
    Academic press:
    Journal Of Algebra And Its Applications , Wydawca: World Scientific
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  22. On the intersection graphs of modules and rings
    Authors:
    M. Nowakowska, J. Matczuk, E.R. Puczyłowski
    Academic press:
    Journal of Algebra , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. On Quasi-Duo Rings
    Authors:
    E. R. Puczyłowski
    Conference:
    Noncommutative rings and their applications (rok: 2015, ), Wydawca: American Mathematical Society
    Data:
    konferencja 1-4 July 2013
    Status:
    Published
    DOI:
    link to the publication
  2. On Right Strongly McCoy Rings
    Authors:
    Andre Leroy, Jerzy Matczuk
    Conference:
    XXXI Ohio State-Denison Mathematics Conference (rok: 2014, ), Wydawca: American Mathematical Society
    Data:
    konferencja May 25-27, 2012
    Status:
    Published
  3. Clean Elements in Polynomial Rings
    Authors:
    Pramod Kanwar, Andre Leroy, Jerzy Matczuk
    Conference:
    Noncommutative rings and their applications (rok: 2015, ), Wydawca: American Mathematical Society
    Data:
    konferencja 1-4 July 2013
    Status:
    Published
  4. Minimal Prime Ideals and Derivations
    Authors:
    Jerzy Matczuk
    Conference:
    Noncommutative rings and their applications (rok: 2015, ), Wydawca: American Mathematical Society
    Data:
    konferencja 1-4 July 2013
    Status:
    Published

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