Toma Albu: Completely irreducible meet decompositions in lattices, with applications to Grothendieck categories and torsion theories (II) p.187-199

Abstract:

This is the second part of the paper with the same title published in Bull. Math. Soc. Sci. Math. Roumanie 52 (100), no.4, (2009), 393-419.

Key Words: Grothendieck category, irreducible subobject, completely irreducible subobject, coirreducible (uniform) object, irredu- cible decomposition, injective hull, Gabriel dimension, hereditary torsion theory, $\tau$-irreducible submodule, $\tau$-completely irreducible submodule, $\tau$-coireducible module, module rich in $\,\tau$-coirreducibles.

2000 Mathematics Subject Classification: Primary: 16S90, 18E15;
Secondary: 18E40.

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