Chain conditions in modular lattices with applications to Grothendieck categories and torsion theories

The text presents in a compact way some basics of Lattice Theory with a great emphasis on chain conditions in modular lattices, that are then applied to Grothendieck categories and module categories equipped with hereditary torsion theories to obtain immediately and in a unified manner significant results in these areas. We also include other results of Algebraic Theory of Lattices that are interesting in their own right.