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:
- 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.
- 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).
- 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. – ¹ 253, (1). – P. 54–62.
- 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.
- 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.
- 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).
- The integer solutions of matrix linear unilateral
and bilateral equations over quadratic rings // J. Math. Sci. – 2017. – ¹ 223, (1). – P. 50–59.
- 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.
- 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).
- 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:
- 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).
- 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.
- 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.
- 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).
- 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.
- 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
).
- 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.
- 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).
- 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.
- 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).
- 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.
- 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.
- 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.
- 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.
- 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.
- 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