Bull. Korean Math. Soc. 2023; 60(2): 515-528
Online first article March 20, 2023 Printed March 31, 2023
https://doi.org/10.4134/BKMS.b220263
Copyright © The Korean Mathematical Society.
Batman University
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.
Keywords: Saturated numerical semigroup, catenary degree, conductor, multiplicity
MSC numbers: Primary 20M14, 20M13
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