Ladzoryshyn Natalaja Bohdanivna

Education: Ivan Franko National University of L’viv (specialty – mathematics, 2006.)

Scientific degree: Ph.D. Degree (01.01.06 – algebra and number theory, 2019) ( thesis: "Equivalence of matrices over quadratic rings and matrix equations")

Position: Research Fellow (2019)

In Institute: from 2006

Research interests: algebra and number theory

Major publications:

  1. On standard forms of the pairs of matrices over the ring of Gaussian integers with respect to the (z,k)-equivalence (with Petrychkovych V.M.) // Journal of mathematical sciences. – 2024. – 279, No. 2 – P. 133–140. https://doi.org/10.1007/s10958-024-07000-8 (Scopus)
  2. The number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the (z,k)-equivalence (with Petrychkovych V.M.) // Mat. Stud. – 2022. – 57, No. 2. – P. 115–121. (Scopus, 0.878, Q3)
  3. Standard form of matrices over quadratic rings with respect to the (z,k)-equivalence and the structure of solutions of bilateral matrix linear equations (with Petrychkovych V.M.) // J. Math. Sci. – 2021. – 253, No. 1. – P. 54–62, doi:10.1007/s10958-021-05212-w. (Scopus, 0.603, Q3)
  4. On standard forms of pairs of matrices over the ring of gaussian integers with respect to (z,k)-equivalence (with Petrychkovych V.M.) // Mat. Metody Fiz.-Mekh. Polya. – 2021. – 64, ¹ 4. – P. 18–24. (in Ukrainian)
  5. The standard form of matrices over the ring of gaussian integers with respect to (z,k)-equivalence (with Petrychkovych V.M. and Zelisko H. V.) // Appl. probl. mech. and math. – 2020 –¹18. – P.5 – 10. (in Ukrainian)
  6. Matrix Diophantine equations over quadratic rings and their solutions (with Petrychkovych V.M. and Zelisko H. V.) // Carpathian Math. Publ. − 2020. −12, ¹2. – Ð. 368–375. (Scopus, 0.685, Q2)
  7. The standard form of matrices over quadratic rings with respect (z,k)-equivalence  and structure of solutions of matrix bilateral linear equations equivalence (with Petrychkovych V.M.) // Mat. Metody Fiz.-Mekh. Polya. – 2018. – ¹61, (2). – P. 49–56. (in Ukrainian)
  8. Matrix linear unilateral and bilateral equations over quadratic rings (with Petrychkovych V.M.) // Visnyk of the Lviv Univ. Series Mech. Math. – 2018. – ¹  85. – P. 32–40. (in Ukrainian)
  9. The integer solutions of matrix linear unilateral and bilateral equations over quadratic rings // J. Math. Sci. – 2017. – 223, No. 1. – P. 50–59, doi:10.1007/s10958-017-3337-0. (Scopus, Web of Science, 0.517, Q3)
  10. The integer solutions of matrix linear unilateral and bilateral equations over quadratic rings // Mathematical methods and physico-mechanical fields. – 2015. – 58, No 2. – P. 47–54.(in Ukrainian)
  11. Equivalence of pairs of matrices with relatively prime determinants over quadratic rings of principal ideals (with Petrychkovych V.M.) //  Bul. Acad. de  Ştiinţe Repub.  Mold.  Mat. – 2014. – ¹ 3, (76) – P. 38–48.
  12. On equivalence of pairs of matrices, which determinants are primes powers, over quadratic Euclidean rings // Carpathian Math. Publications. – 2013. ­ – ¹  5, (1). – P. 63–69. (in Ukrainian)
  13. On equivalence of matrices over quadratic Euclidean rings (with Petrychkovych V.M., Zelisko V.R.) // Appl. probl. mech. and math.. – 2006. – ¹ 4. – P. 16–21. (in Ukrainian)

List of Conference Proceedings:

  1. Ladzoryshyn Natalija, Petrychkovych Vasyl'. Equivalence of pairs of matrices over thequadratic ring Z[√−2] // Current problems of Mechanics and Mathematics - 2023: Collection of Scientific Papers / Edited by Roman M. Kushnir (Academician of NAS of Ukraine) and Volodymyr O. Pelykh (Corresponding Member of NAS of Ukraine) [Published Online] // Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine. - 2023. - 454 p. - Access by the link: http://iapmm.lviv.ua/mpmm2023/materials/proceedings.mpmm2023.pdf P. 409−410. – http://iapmm.lviv.ua/mpmm2023/materials/ma10_15.pdf (in Ukrainian)

2.     Ladzoryshyn Natalija. (z,k)-equivalence of pairs of matrices over imaginary Euclidean quadratic rings // 14th Ukraine Algebra Conference, July 3-7, 2023 Sumy, Ukraine. Book of Abstracts: Sumy State Pedagogical University named after A.S. Makarenko, Sumy, Ukraine. – 150 p. – P. 81.

3.     Ladzoryshyn N.B., Petrychkovych V.Ì. (z,k)- equivalence of singular matrices over quadratic Euclidean rings // XIX International Scientific Mykhailo Kravchuk Conference, dedicated to the 125th anniversary of Igor Sikorsky Kyiv Polytechnic Institute. Proceedings of Nineteenth International Scientific Mykhailo Kravchuk Conference, October 11-12, 2023, Kyiv, Igor Sikorsky Kyiv Polytechnic Institute.- P. 111 − 112. – https://matan.kpi.ua/uk/kravchuk-conf-2023/ (in Ukrainian)

  1. Ladzoryshyn N. On the number of standard pairs of pairs of matrices over the ring of Gaussian integers with respect to (z,k)-equivalence // Conference of young Scientists “Pidstryhach reading – 2022”. – L’viv, Ukraine May 25–27, 2022, L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2022/abstracts/Ladzoryshyn.pdf).
  2. Natalija Ladzoryshyn, Vasyl' Petrychkovych. On the number of standard forms of matrices over imaginary Euclidean quadratic rings with respect to the (z,k)-equivalence // The 13th International Algebraic Conference in Ukraine, July 6 – 9, 2021, Taras Shevchenko National University of Kyiv. – Book of Abstracts. – P. 45.
  3. Ladzoryshyn N., Petrychkovych V. The standard form of matrices over imaginary Euclidean quadratic rings with respect to (z,k)-equivalence // XI International Skorobohatko Mathematical Conference. October 26−30, 2020, Lviv, Ukraine. Abstracts: Lviv: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, 2020. – 130 p. – – [Electronic resource]. – Access mode: http://www.iapmm.lviv.ua/conf_skorob2020/documents/2020tezy.pdf – P. 59.
  4. Ladzoryshyn N. (z,k)-equivalence of matrices over the ring of Gaussian integers // Conference of young Scientists “Pidstryhach reading – 2020”. – L’viv, Ukraine May 26–28, 2020, L’viv. – [Electronic resource]. – Access mode: (http://www.iapmm.lviv.ua/chyt2020/abstracts/Ladzoryshyn.pdf).
  5. Ladzoryshyn N., Petrychkovych V. (z,k)-equivalence of matrices over Euclidean quadratic rings and solutions of matrix equation AX+YB=C // Book of abstracts of the XII International Algebraic Conference in Ukraine dedicated to the 215th anniversary of  V. Bunyakovsky, July 02 – 06, 2019, Vinnytsia, 2019. – P. 63–64.
  6. Ladzoryshyn N. Solutions of the matrix equation AX+BY=C over Euclidean quadratic rings // Conference of young Scientists “Pidstryhach reading – 2019”.– Lviv, Ukraine, May 27–29, 2019, Lviv. – [Electronic resource]. – Access mode: (http://iapmm.lviv.ua/chyt2019/abstracts/Ladzoryshyn.pdf ).
  7. Ladzoryshyn N. The solvability of Diophantine equations over quadratic rings // Modern problems of Mechanics and Mathematics: collection of scientific papers in 3 vol. / Edited by A.Ì. Samoilenko, R.M. Kushnir [Electronic resource] // Pidstryhach Institute for Applied Problems of Mechanics and Mathematics NAS of Ukraine. – 2018. – Vol. 3. – Access mode: (http://www.iapmm.lviv.ua/mpmm2018/Volume_3.pdf). P. 217–218.
  8. Ladzoryshyn N.B. The matrix linear unilateral equations over quadratic rings // Conference of young Scientists “ Pidstryhach reading – 2015”.– L’viv, Ukraine, May 26–28, 2015, L’viv. – [Electronic resource]. – Access mode (http://www.iapmm.lviv.ua/chyt2015/theses/Ladzoryshyn.pdf).
  9. Ladzoryshyn N., Petrychkovych V. On solutions of the matrix linear equations AX+YB=C over quadratic rings // Book of abstracts of the X International Algebraic Conference in Ukraine dedicated to the 70th anniversary of Yu. A. Drozd, August 20 – 27, 2015, Odessa. – Abstract. – Odessa: TES, 2015. – P. 61.
  10. Ladzoryshyn N.B. Integer solutions of matrix Diophantine equation over quadratic rings // Conference of young Scientists “ Pidstryhach reading – 2014”.– L’viv, Ukraine, May 28–30, 2014, L’viv. – [Electronic resource]. – Access mode (http://www.iapmm.lviv.ua/chyt2014/theses/Ladzoryshyn.pdf).
  11.  Ladzoryshyn N.B. The integral solutions of bilateral linear matrix equations over quadratic rings //  International Algebraic Conference dedicated to 100th anniversary of L.A. Kaluzhnin. Book of Abstracts.    Jule 7–12, 2014. Kyiv. –  P. 52.
  12. Ladzoryshyn N. The matrix linear bilateral equations over quadratic rings  // International Conference “Modern Problems of Mechanics and Mathematics”. – L’viv, Ukraine May 21–25, 2013, L’viv. Abstract. – L’viv: YA. S. Pidstryhach Institute for APMM NAS of Ukraine. – P. 187–189.
  13. Ladzoryshyn N., Petrychkovych V. Equivalence of pairs of matrices with relatively prime determinants over quadratic principal ideal rings // 9-th International algebraic conference in Ukraine, L'viv, July 8–13, 2013: Book of abstracts. – L'viv, 2013. – P. 109.
  14. Ladzoryshyn N.B. On equivalence of certain pairs of matrices over quadratic Euclidean rings // XIII inter­natio­nal Scientific Kravchuk mathematical conference. – Kyiv, Ukraine , May 13–15, 2010: Conference materials. V.2 – K. NTUU – 320 p. – P. 166.
  15. Ladzoryshyn N.B. On equivalence of pairs of matrices over quadratic Euclidean rings // Conference of young Scientists Pidstryhach with Modern Problems of Mechanics and Mathematics. – L’viv, Ukraine, May 25–27, 2009. – P. 176–177.
  16. Volodymyr Zelisko, Natalija Ladzoryshyn, On equivalence and factorization of matrices over quadratic rings // 6th International Algebraic Conference in Ukraine. – L’viv, Ukraine, July 1–7, 2007. – P.231–232.

Phone service: (032) 258 96 22

E-mail: natalja.ladzoryshyn@gmail.com