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:
- 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]
- 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]
- 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]
- 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]
- 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]
- Extensions between Cohen–Macaulay modules of Grassmannian cluster categories, J Algebr. Comb., Springer (2017) 45 (4): 965-1000. [joint with K. Baur]
- Existence of gradings on associative algebras, Comm. Algebra (2016), Volume 44, Issue 7, pp 3069-3076.
- Graded Cartan matrices of defect 2 blocks of symmetric groups, J. Algebra Appl. 12 (2013), No. 5, 1250220, 12 pp.
- Graded blocks of group algebras with dihedral defect groups, Colloq. Math. 122, No 2, (2011), 149-176.
- Graded Brauer tree algebras, J. Pure Appl. Algebra 214, No. 9, (2010), 1534-1552.
- Osnove matematike, Univerzitet u Banjoj Luci, (2019), [joint with M. Janjić]. Undergraduate textbook.
- Elementarna matematika, Univerzitet u Banjoj Luci, (2018), [joint with B. Nikolić]. Undergraduate textbook.
- Uvod u algebru, Univerzitet u Banjoj Luci, (2012), [joint with M. Janjić]. Undergraduate textbook.