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Article
Mathematics
Distributive lattices and Auslander regular algebras
Osamu Iyama et al.
Summary: This article proves that the characterization of a lattice being distributive can be given by determining whether its associated incidence algebra is an Auslander regular ring. It also provides an explicit representation of the minimal injective coresolution and a combinatorial formula for the Bass numbers.
ADVANCES IN MATHEMATICS (2022)
Article
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Stable representations of posets
Vyacheslav Futorny et al.
JOURNAL OF PURE AND APPLIED ALGEBRA (2019)