• Bulletin of the Korean Mathematical Society
• /
• v.60 no.2
• /
• pp.515-528
• /
• 2023

In this paper, we formulate the set of all saturated numerical semigroups with prime multiplicity. We characterize the catenary degrees of elements of the semigroups we obtained which are important invariants in factorization theory. We also give the proper characterizations of the semigroups under consideration.