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

Boletim Sociedade Paranaense de Matemática

doi:10.5269/bspm.81043

Boletim Sociedade Paranaense de Matemática UEM, Maringá

Resumo

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.

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