Tato práce se zabývá pseudo BL-algebrami a jejich základními vlastnostmi, popisuje vztah mezi pseudo MV- a pseudo BL-algebrami. Hlavním tématem jsou filtry a vlastnosti svazu filtrů pseudo BL-algeber. Dále je zde popsána korespondence mezi kongruencemi a normálními filtry. Na závěr se zabývá filtry a ideály pseudo MV-algeber a dokazuje, že svaz filtrů je izomorfní se svazem l-podgrup.This thesis is concerned with the pseudo BL-algebras and their basic properties. It describes the relationship between the pseudo MV- and pseudo BL-algebras. The main topics are filters and properties of the filter lattice of the pseudo BL-algebras. It describes the correspondence between congruences and normal filters. The conclusion of the thesis is dedicated to the filters and ideals of the pseudo MV-algebras and it proves, that filter lattice is isomorphic to the lattice of convex l-subgroups.