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math.AC2020
Lattices over Bass rings and graph agglomerations
Nicholas R. Baeth, Daniel Smertnig
We study direct-sum decompositions of torsion-free, finitely generated modules over a (commutative) Bass ring through the factorization theory of the corresponding monoid $T(R)…
math.RA2020
Factorizations in upper triangular matrices over information semialgebras
Nicholas R. Baeth, Felix Gotti
An integral domain (or a commutative cancellative monoid) is atomic if every nonzero nonunit element is the product of irreducibles, and it satisfies the ACCP if every ascending ch…