Michal Hrbek

Postdoc at Department of Algebra, Geometry and Mathematical Physics of the Institute of Mathematics of the Czech Academy of Sciences in Prague.

Research areas: Homological algebra, commutative algebra, module theory.

Contact: hrbek [AT] math [DOT] cas [DOT] cz

Official institutional website: link.








Publications

  1. M. Hrbek, P. Růžička. Weakly based modules over Dedekind domains. Journal of Algebra 399 (2014): 251-268.
  2. M. Hrbek, P. Růžička. Characterization of Abelian groups with a minimal generating set. Quaestiones Mathematicae 38.1 (2015): 103-120.
  3. M. Hrbek. One-tilting classes and modules over commutative rings. Journal of Algebra 462 (2016): 1-22.
  4. D. Herden, M. Hrbek, P. Růžička. On the existence of weak bases for vector spaces. Linear Algebra and its Applications 501 (2016): 98-111.
  5. L. Angeleri Hügel, M. Hrbek. Silting modules over commutative rings. International Mathematics Research Notices 2017.13 (2017): 4131-4151.
  6. M. Hrbek, P. Růžička. Regularly weakly based modules over right perfect rings and Dedekind domains. Czechoslovak Mathematical Journal 67.2 (2017): 367-377.
  7. M. Hrbek. Divisibility classes are seldom closed under flat covers. Journal of Pure and Applied Algebra 223.3 (2019): 1258-1271.
  8. M. Hrbek, J. Šťovíček. Tilting classes over commutative rings. Forum Mathematicum 32.1 (2020): 235-267.
  9. M. Hrbek. Compactly generated t-structures in the derived category of a commutative ring. Mathematische Zeitschrift 295.1 (2020): 47-72.
  10. M. Hrbek, J. Šťovíček, J. Trlifaj. Zariski locality of quasi-coherent sheaves associated with tilting. Indiana University Mathematics Journal 69.5 (2020): 1733-1762.
  11. S. Bazzoni, M. Hrbek. Definable coaisles over rings of weak global dimension at most one. Publicacions Matemàtiques. 65.1 (2021). 165-241.
  12. M. Hrbek, T. Nakamura. Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings. Journal of Pure and Applied Algebra 225.4 (2021): 106571. https://doi.org/10.1016/j.jpaa.2020.106571.
  13. L. Angeleri Hügel, M. Hrbek. Parametrizing torsion pairs in derived categories. Representation Theory 25 (2021): 679-731.
  14. M. Hrbek, L. Positselski, A. Slávik. Countably generated flat modules are quite flat. J. Commut. Algebra 14.1 (2022): 37-54.

Preprints