It is well-known that the hereditary torsion theories fo the category R-mod form the lattice. In the paper it is shown that the set of all hereditary torsion theories, where the torsionfree class is a precover class, form a sublattice of this lattice.
It is well-known that the hereditary torsion theories fo the category R-mod form the lattice. In the paper it is shown that the set of all hereditary torsion theories, where the torsionfree class is a precover class, form a sublattice of this lattice. (en)