проф. др Душко Богданић

Milan Predojević
 
проф. др Душко Богданић
Редовни професор

Контакт информације:

  • Ужа научна област: Алгебра и геометрија
  • Катедра: Теоријска математика
  • Е-mail: dusko.bogdanic@gmail.com

Настава:

  • Увод у алгебру.
  • Линеарна алгебра 1.
  • Линеарна алгебра 2.
  • Алгебра.
  • Изабрана поглавља алгебре.
  • Методика наставе алгебре.
  • Математика 1 (Хемија и ТВИ).
  • Математика 2 (Хемија и ТВИ).
  • Увод у математику (Физика).

Наука:

  1. Construction of Rank 2 Indecomposable Modules in Grassmannian Cluster Categories, Advanced Studies in Pure Mathematics, Volume 88 „The McKay correspondence, Mutation and related topics“, Mathematical Society of Japan, (2023), pp 1-45 [joint with K. Baur and Jian-Rong Li]
  2. Corrigendum to „Cluster categories from Grassmannians and root combinatorics, Nagoya Mathematical Journal, 249 (2023), 269-273. doi:10.1017/nmj.2022.7 [joint with K. Baur and A.G. Elsener]
  3. Decomposable extensions between rank 1 modules in Grassmannian cluster category, Sarajevo Journal of Mathematics, Vol.18 (31), No.2 (2022), 297 – 312 DOI: 10.5644/SJM.18.02.10 [joint with I.-V. Boroja]
  4. Indecomposable Modules in the Grassmannian Cluster Category CM(B_(5,10)), Kragujevac Journal of Mathematics, Volume 48(6) (2024), Pages 907–920 [joint with I.-V. Boroja]
  5. Cluster categories from Grassmannians and root combinatorics, Nagoya Mathematical Journal, 240 (2020), 322-354. doi:10.1017/nmj.2019.14 [joint with K. Baur and A.G. Elsener]
  6. Extensions between Cohen–Macaulay modules of Grassmannian cluster categories, J Algebr. Comb., Springer (2017) 45 (4): 965-1000. [joint with K. Baur]
  7. Existence of gradings on associative algebras, Comm. Algebra (2016), Volume 44, Issue 7, pp 3069-3076.
  8. Graded Cartan matrices of defect 2 blocks of symmetric groups, J. Algebra Appl. 12 (2013), No. 5, 1250220, 12 pp.
  9. Graded blocks of group algebras with dihedral defect groups, Colloq. Math. 122, No 2, (2011), 149-176.
  10. Graded Brauer tree algebras, J. Pure Appl. Algebra 214, No. 9, (2010), 1534-1552.
  11. Osnove matematike, Univerzitet u Banjoj Luci, (2019), [joint with M. Janjić]. Undergraduate textbook.
  12. Elementarna matematika, Univerzitet u Banjoj Luci, (2018), [joint with B. Nikolić]. Undergraduate textbook.
  13. Uvod u algebru, Univerzitet u Banjoj Luci, (2012), [joint with M. Janjić]. Undergraduate textbook.