For an integral domain , the irreducible divisor graph of a nonunit gives a visual representation of the factorizations of . Here we consider a higher-dimensional generalization of this notion, the irreducible divisor simplicial complex . We show how this new structure is a true generalization of , and show that it often carries more information about the element and the domain than its two-dimensional counterpart.
"Irreducible divisor simplicial complexes." Involve 6 (4) 447 - 460, 2013. https://doi.org/10.2140/involve.2013.6.447