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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  • 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 ...
  • On the dual Hesse arrangement 

    Lampa-Baczyńska, Magdalena; Wójcik, Daniel (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In the present note we investigate to which extent the configuration of 9 lines intersecting in triples in 12 points is determined by these incidences. We show that up to a projective automorphism there is exactly one such ...
  • Knots of irreducible curve singularities 

    Krasiński, Tadeusz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In the article the relation between irreducible curve plane singularities and knots is described. In these terms the topological classification of such singularities is given.
  • A note on divergence-free polynomial derivations in positive characteristic 

    Jędrzejewicz, Piotr (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    In this paper we discuss an explicit form of divergence-free polynomial derivations in positive characteristic. It involves Jacobian derivations.

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