TY - GEN AU - Ara, Pere AU - Bosa, Joan AU - Cantier, Laurent AU - Pardo Espino, Enrique AU - Vilalta, Eduard A4 - Matemáticas PY - 2026 UR - http://hdl.handle.net/10498/40257 AB - We introduce and study the family of super adaptable monoids, which includes, among many others, all conical refinement monoids that are either finitely generated, or countable, primely generated, and regular. Our main result shows that any countable... LA - eng KW - von Neumann regular ring KW - refinement monoid KW - separated graph KW - real rank zero C-algebra TI - Super adaptable graphs and the realization problem DO - 10.48550/arXiv.2609.21420 ER -