first part of the preliminaries

references.bib

@@ -175,4 +175,36 @@ address   = {Providence, RI},
 year      = {2011},
 isbn      = {978-0-8218-4819-2},
 doi       = {10.1090/gsm/124}
+}
+
+
+@article{Geroldinger2025,
+title = {On algebraic properties of power monoids of numerical monoids},
+volume = {265},
+issn = {0021-2172, 1565-8511},
+url = {https://link.springer.com/10.1007/s11856-024-2683-0},
+doi = {10.1007/s11856-024-2683-0},
+pages = {867--900},
+number = {2},
+journaltitle = {Israel Journal of Mathematics},
+shortjournal = {Isr. J. Math.},
+author = {Bienvenu, Pierre-Yves and Geroldinger, Alfred},
+urldate = {2026-09-16},
+date = {2025-02},
+}
+
+@book{Rosales2009,
+location = {New York, {NY}},
+title = {Numerical Semigroups},
+volume = {20},
+rights = {https://www.springernature.com/gp/researchers/text-and-data-mining},
+isbn = {978-1-4419-0159-0 978-1-4419-0160-6},
+url = {https://link.springer.com/10.1007/978-1-4419-0160-6},
+doi = {10.1007/978-1-4419-0160-6},
+series = {Developments in Mathematics},
+publisher = {Springer New York},
+author = {Rosales, J.C. and García-Sánchez, P. A.},
+urldate = {2026-09-16},
+date = {2009},
+langid = {english},
 }