Lattices over Bass Rings and Graph Agglomerations
Lattices over Bass Rings and Graph Agglomerations
Abstract We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring R through the factorization theory of the corresponding monoid T ( R ). Results of Levy–Wiegand and Levy–Odenthal together with a study of the local case yield an explicit description of T ( R ). …