Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
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.
The catenary degree of the saturated numerical semigroups with prime multiplicity
Meral S\"{u}er 
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
Fulltext
Stats or Metrics
Share this article on :
Related articles in BKMS
-
Birationally rigid complete intersections of codimension two
2017; 54(5): 1627-1654
-
Some characterizations of Cohen-Macaulay modules in dimension ${\bf > s}$
2014; 51(2): 519-530
-
Range of parameter for the existence of periodic solutions of Lienard differential equations
1995; 32(2): 271-279
-
Existence, multiplicity and uniqueness results for a second order m-point boundary value problem
2004; 41(3): 483-492
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd