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Coherence and distributive lattices in homological algebra

Abstract:
Complex systems in homological algebra present problems of coherence that can be solved by proving the distributivity of the sublattices of subobjects generated by the system. The main applications deal with spectral sequences, but the goal of this paper is to convey the importance of distributive lattices (of subobjects) in homological algebra, to researchers outside of this field; a parallel role played by orthodox semigroups (of endorelations) is referred to but not developed here.

Keywords:
homological algebra, distributive lattice, spectral sequence, orthodox semigroup

MSC:
18, 06, 55