  We investigate the altermagnetic properties of strongly-correlated transition
metal oxides considering the family of the quasi two-dimensional A2BO4 and
three-dimensional ABO3. As a test study, we analyze the Mott insulators Ca2RuO4
and YVO3. In both cases, the orbital physics is extremely relevant in the t2g
subsector with the presence of an orbital-selective Mott physics in the first
case and of a robust orbital-order in the second case. Using first-principles
calculations, we show the presence of an orbital-selective altermagnetism in
the case of Ca2RuO4. In the case of YVO3, we study the altermagnetism as a
function of the magnetic ordering and of the Coulomb repulsion U. We find that
the altermagnetism is present in all magnetic orders with the symmetries of the
Brillouin zone depending on the magnetic order. Finally, the Coulomb repulsion
enhances the non-relativistic spin-splitting making the strongly-correlated
systems an exciting playground for the study of the altermagnetism.
