Bondarenko Vitaliy M.
Publications
For all years about 130 articles,
about 80 of them are included in international databases.
From 2016 to 2020
Scopus and Web of Science
1. Bondarenko V. M., Tertychna O. M., Zubaruk O. V. On classifications of pairs of potent linear operators with the simplest annihilation condition // Algebra Discrete Math. -- 2016. -- vol. 21, no~1. -- P. 18-23.
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/170
2. Bondarenko V. M., Bortos M. Yu., Dinis R. F., Tylyshchak A. A. Indecomposable and irreducible t-monomial matrices over commutative rings // Algebra Discrete Math. -- 2016. -- vol. 22, no~1. -- P. 11-20. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/287
3. Bondarenko V. M., Stoika M. V. On representations of the group of order two over local factorial rings in the weakly modular case // Algebra Discrete Math. -- 2017. -- vol. 23, no 1. -- P. 7-15. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/170
4. Bondarenko V. M., Bortosh M. Yu. Indecomposable and isomorphic objects in the category of monomial matrices over a local ring. Ukr. math. j. 69, ¹7 (2017), 889-904. https://doi.org/10.1007/s11253-017-1413-8.
5. Bondarenko V. M., Gildea J., Tylyshchak A. A., Yurchenko N. V.
On hereditary reducibility of 2-monomial matrices over commutative rings//Algebra Discrete Math. -- 2019. -- vol. 27, no 1. -- P. 1-11. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1333
6. Bondarenko V. M., Styopochkina M. V. The classification of serial posets with the non-negative quadratic Tits form being principal// Algebra Discrete Math. -- 2019. -- vol. 27, no 2. -- P. 202-211. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1393
7. Bondarenko V. M., Petravchuk A. P. Wildness of the problem of classifying nilpotent Lie algebras of vector fields in four variables// Linear Algebra Appl. -- 2019. -- 568. -- P. 165-172. https://doi.org/10.1016/j.laa.2018.07.031
Professional publications
8. Bondarenko V. M., Bortos M. Yu. Description of some categories of irreducible matrices of small orders over local rings // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. -- 2016. -- vol. 28, ¹1. -- C. 18-34. https://dspace.uzhnu.edu.ua/jspui/handle/lib/22045
9. Bondarenko V. M., Lisykevych V. A. Edge-local deformations of the quadratic Tits forms of non-serial Dynkin diagrams // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. -- 2016. -- vol. 28, ¹1. -- C. 35-47. https://dspace.uzhnu.edu.ua/jspui/handle/lib/17527
10. Bondarenko V. M., Styopochkina M. V. Coefficients of transitiveness of P-critical posets // Proc. Inst. Math. of NAS of Ukraine. – 2017. – vol. 14, ¹ 1. – P. 46–51. http://trim.imath.kiev.ua/index.php/trim/article/view/101
11. Bondarenko V. M., Bortos M. Yu. Sufficient conditions of reducibility in the category of monomial matrices over a commutative local ring // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2017. – vol. 30, ¹ 1. – C. 11–24. https://doi.org/10.24144/2616-7700.2017.1(30).11-24
12. Bondarenko V. M., Zaciha Ya. V. On combinatorial properties of the semigroups of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2017. – vol. 30, ¹ 1. – C. 25–31. https://doi.org/10.24144/2616-7700.2017.1(30).25-31
13. Bondarenko V. M., Styopochkina M. V. Combinatorial properties of P-posets of width 2 // Applied problems of mechanics and mathematics. – 2017. – vol. 15 – Ñ. 21–23. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2459
14. Bondarenko V. M., Lytvynchuk~I.~V. Description of the category of representations of constant Jordan type of the smallest noncommutative group // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – vol. 31, ¹ 2. – 2017. – Ñ. 37–47. https://doi.org/10.24144/2616-7700.2017.2(31).37-47
15. Bondarenko V. M., Kostyshyn E. M. Modular representations with additional conditions of the semigroup T2xS2 // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics.– 2017. – vol. 31, ¹ 2. – Ñ. 28–36. https://doi.org/10.24144/2616-7700.2017.2(31).28-36
16. Bondarenko V. M., Styopochkina M. V. On properties of posets of MM-type (1,3,5) // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 32, ¹ 1. – P. 50–53. https://doi.org/10.24144/2616-7700.2018.1(32).50-53
17. Bondarenko V. M., Zaciha Ya. V. Canonical forms of matrix representations of semigroups of small order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 32, ¹ 1. – C. 36–49. https://doi.org/10.24144/2616-7700.2018.1(32).36-49
18. Bondarenko V. M., Orlovskaja Yu. M., Styopochkina M. V. On Hasse diagrams connected with the 1-oversupercritical poset (1,3,5) // Applied problems of mechanics and mathematics. – 2018. – vol. 16 – C. 30–32. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2018.16.30-32
19. Bondarenko V. M., Zaciha Ya. V. On matrix representations of monoids of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 33, ¹ 2. – Ñ. 19–26. https://doi.org/10.24144/2616-7700.2018.2(33).19-26
20. Bondarenko V. M. Strengthening of a theorem on Coxeter-Euclidean type of principal partyally ordered sets / V. M. Bondarenko, M. V. Styopochkina // Bulletin of University of Kyiv, Series: Physics and Mathematics. – 2018. – ¹ 4. – P. 8-15. http://bphm.univ.kiev.ua/index.php/bphm/article/view/22
21. Bondarenko V. M., Zaciha Ya. V. Canonical forms of matrix representations of commutative monoids of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2019. – vol. 34, ¹ 1. – C. 12–25. https://doi.org/10.24144/2616-7700.2019.1(34).12-25
22. Bondarenko V. M., Styopochkina M. V. On properties of posets of MM-type (1, 2, 7) // Applied problems of mechanics and mathematics. – 2019. – vol. 17 – C. 7–10. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2019.17.7-10
23. Bondarenko V. M., Zubaruk O. V. On matrix representations of oversemigroups of semigroups generated by two mutually annihilating idempotents // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2020. – vol. 36, ¹ 1. – C. 7–15. https://doi.org/10.24144/2616-7700.2020.1(36).7-15
about 80 of them are included in international databases.
From 2016 to 2020
Scopus and Web of Science
1. Bondarenko V. M., Tertychna O. M., Zubaruk O. V. On classifications of pairs of potent linear operators with the simplest annihilation condition // Algebra Discrete Math. -- 2016. -- vol. 21, no~1. -- P. 18-23.
http://admjournal.luguniv.edu.ua/index.php/adm/article/view/170
2. Bondarenko V. M., Bortos M. Yu., Dinis R. F., Tylyshchak A. A. Indecomposable and irreducible t-monomial matrices over commutative rings // Algebra Discrete Math. -- 2016. -- vol. 22, no~1. -- P. 11-20. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/287
3. Bondarenko V. M., Stoika M. V. On representations of the group of order two over local factorial rings in the weakly modular case // Algebra Discrete Math. -- 2017. -- vol. 23, no 1. -- P. 7-15. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/170
4. Bondarenko V. M., Bortosh M. Yu. Indecomposable and isomorphic objects in the category of monomial matrices over a local ring. Ukr. math. j. 69, ¹7 (2017), 889-904. https://doi.org/10.1007/s11253-017-1413-8.
5. Bondarenko V. M., Gildea J., Tylyshchak A. A., Yurchenko N. V.
On hereditary reducibility of 2-monomial matrices over commutative rings//Algebra Discrete Math. -- 2019. -- vol. 27, no 1. -- P. 1-11. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1333
6. Bondarenko V. M., Styopochkina M. V. The classification of serial posets with the non-negative quadratic Tits form being principal// Algebra Discrete Math. -- 2019. -- vol. 27, no 2. -- P. 202-211. http://admjournal.luguniv.edu.ua/index.php/adm/article/view/1393
7. Bondarenko V. M., Petravchuk A. P. Wildness of the problem of classifying nilpotent Lie algebras of vector fields in four variables// Linear Algebra Appl. -- 2019. -- 568. -- P. 165-172. https://doi.org/10.1016/j.laa.2018.07.031
Professional publications
8. Bondarenko V. M., Bortos M. Yu. Description of some categories of irreducible matrices of small orders over local rings // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. -- 2016. -- vol. 28, ¹1. -- C. 18-34. https://dspace.uzhnu.edu.ua/jspui/handle/lib/22045
9. Bondarenko V. M., Lisykevych V. A. Edge-local deformations of the quadratic Tits forms of non-serial Dynkin diagrams // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. -- 2016. -- vol. 28, ¹1. -- C. 35-47. https://dspace.uzhnu.edu.ua/jspui/handle/lib/17527
10. Bondarenko V. M., Styopochkina M. V. Coefficients of transitiveness of P-critical posets // Proc. Inst. Math. of NAS of Ukraine. – 2017. – vol. 14, ¹ 1. – P. 46–51. http://trim.imath.kiev.ua/index.php/trim/article/view/101
11. Bondarenko V. M., Bortos M. Yu. Sufficient conditions of reducibility in the category of monomial matrices over a commutative local ring // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2017. – vol. 30, ¹ 1. – C. 11–24. https://doi.org/10.24144/2616-7700.2017.1(30).11-24
12. Bondarenko V. M., Zaciha Ya. V. On combinatorial properties of the semigroups of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2017. – vol. 30, ¹ 1. – C. 25–31. https://doi.org/10.24144/2616-7700.2017.1(30).25-31
13. Bondarenko V. M., Styopochkina M. V. Combinatorial properties of P-posets of width 2 // Applied problems of mechanics and mathematics. – 2017. – vol. 15 – Ñ. 21–23. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/2459
14. Bondarenko V. M., Lytvynchuk~I.~V. Description of the category of representations of constant Jordan type of the smallest noncommutative group // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – vol. 31, ¹ 2. – 2017. – Ñ. 37–47. https://doi.org/10.24144/2616-7700.2017.2(31).37-47
15. Bondarenko V. M., Kostyshyn E. M. Modular representations with additional conditions of the semigroup T2xS2 // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics.– 2017. – vol. 31, ¹ 2. – Ñ. 28–36. https://doi.org/10.24144/2616-7700.2017.2(31).28-36
16. Bondarenko V. M., Styopochkina M. V. On properties of posets of MM-type (1,3,5) // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 32, ¹ 1. – P. 50–53. https://doi.org/10.24144/2616-7700.2018.1(32).50-53
17. Bondarenko V. M., Zaciha Ya. V. Canonical forms of matrix representations of semigroups of small order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 32, ¹ 1. – C. 36–49. https://doi.org/10.24144/2616-7700.2018.1(32).36-49
18. Bondarenko V. M., Orlovskaja Yu. M., Styopochkina M. V. On Hasse diagrams connected with the 1-oversupercritical poset (1,3,5) // Applied problems of mechanics and mathematics. – 2018. – vol. 16 – C. 30–32. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2018.16.30-32
19. Bondarenko V. M., Zaciha Ya. V. On matrix representations of monoids of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2018. – vol. 33, ¹ 2. – Ñ. 19–26. https://doi.org/10.24144/2616-7700.2018.2(33).19-26
20. Bondarenko V. M. Strengthening of a theorem on Coxeter-Euclidean type of principal partyally ordered sets / V. M. Bondarenko, M. V. Styopochkina // Bulletin of University of Kyiv, Series: Physics and Mathematics. – 2018. – ¹ 4. – P. 8-15. http://bphm.univ.kiev.ua/index.php/bphm/article/view/22
21. Bondarenko V. M., Zaciha Ya. V. Canonical forms of matrix representations of commutative monoids of the fourth order // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2019. – vol. 34, ¹ 1. – C. 12–25. https://doi.org/10.24144/2616-7700.2019.1(34).12-25
22. Bondarenko V. M., Styopochkina M. V. On properties of posets of MM-type (1, 2, 7) // Applied problems of mechanics and mathematics. – 2019. – vol. 17 – C. 7–10. http://journals.iapmm.lviv.ua/ojs/index.php/APMM/article/view/apmm2019.17.7-10
23. Bondarenko V. M., Zubaruk O. V. On matrix representations of oversemigroups of semigroups generated by two mutually annihilating idempotents // Scientific Bulletin of Uzhhorod University. Series of Mathematics and Informatics. – 2020. – vol. 36, ¹ 1. – C. 7–15. https://doi.org/10.24144/2616-7700.2020.1(36).7-15