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Vorticity generated in heavy-ion collisions at energy of $\sqrt{s_{NN}}=$ 39GeV is studied. Simulations are performed within a model of the three-fluiddynamics. A peculiar structure consisting of two vortex rings is found: onering in the target fragmentation region and another one in the projectilefragmentation region. These rings are also formed in central collisions. Thematter rotation is opposite in this two rings. These vortex rings are alreadyformed at the early stage of the collision together with primordialfragmentation regions. The average vorticity, responsible for the globalpolarization of the observed $\Lambda$ and $\bar{\Lambda}$, is also studied. Inthe semi-central collisions the average vorticity in the midrapidity regionturns out to be more than an order of magnitude lower than the total one. Thetotal vorticity is dominated by the contributions of the fragmentation regionsand is produced because of asymmetry of the vortex rings in noncentralcollisions. This suggests that in semi-central collisions the globalpolarization in the fragmentation regions should be at least an order ofmagnitude higher than that observed by the STAR collaboration in themidrapidity. This polarization should be asymmetrical in the reaction plain andcorrelate with the corresponding directed flow.

Vortex rings in fragmentation regions in heavy-ion collisions at $\sqrt{s_{NN}}=$ 39 GeV