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math.CO2020
Betti elements and catenary degree of telescopic numerical semigroup families
Mearal Süer, Mehmet Şirin Sezgin
The catenary degree is an invariant that measures the distance between factorizations of elements within a numerical semigroup. In general, all possible catenary degrees of the ele…
math.GR2020
The catenary degree of the saturated numerical semigroups with prime multiplicity
Meral Süer
In this paper we present the set of saturated numerical semigroups with prime multiplicity. We also characterize the catenary degree of these semigroups that we acquire. The catena…