Welcome to the University of Lodz Repository (RUŁ). The Repository collects and facilitates didactic materials and current intellectual output of the university research workers. It is a platform facilitating scientific resources and integrating the university with the other sources of information science.
The Repository operates on the basis of regulation of President of the University of Lodz (Rector) No.51 of 31.03.2015.

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Staff of the University of Lodz Repository (RUŁ).
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e-mail: repozytorium@lib.uni.lodz.pl

  • A family of hyperbolas associated to a triangle 

    Zięba, Maciej (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In this note, we explore an apparently new one parameter family of conics associated to a triangle. Given a triangle we study ellipses whose one axis is parallel to one of sides of the triangle. The centers of these ellipses ...
  • Rings and fields of constants of cyclic factorizable derivations 

    Zieliński, Janusz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero.
  • A few introductory remarks on line arrangements 

    Szpond, Justyna (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    Points and lines can be regarded as the simplest geometrical objects. Incidence relations between them have been studied since ancient times. Strangely enough our knowledge of this area of mathematics is still far from ...
  • Extremal properties of line arrangements in the complex projective plane 

    Pokora, Piotr (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry. Using Hirzebruch-type inequalites we provide some new results on ...
  • Finitely generated subrings of R[x] 

    Nowicki, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring of polynomials over a ring R in one variable x. We describe rings R such that all subalgebras of R[x] are finitely generated ...

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