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The Monotone Catenary Degree of Block Monoids
The block monoid B(G) of a finite abelian group G is the set of zero-sum sequences g1 · · · gn such that !n i=1 gi = 0 with operation given by concatenation. A factorization z = α1 · · · · · αn of length |z| = n of α ...
Irreducible divisor simplicial complexes
Recently there has been much research on irreducible divisor graphs | visual representations of the factorizations of elements in commutative rings. In this thesis we expand on this concept by introducing the irreducible ...