The catenary and tame degree of numerical monoids

By Scott T. Chapman, Pedro A. García-Sánchez, David Llena. 2009

54 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Factorization invariants of Puiseux monoids generated by geometric sequences (2019, background): “The tame degree of numerical monoids was first considered in [10].”
On the arithmetic of tame monoids with applications to Krull monoids and Mori domains (2010, background): “Tameness implies a variety of further arithmetical finiteness properties (such as the finiteness of the catenary degree and of the elasticity), and local tameness is a central finiteness property in factorization theory (we refer to the monograph [22] and some recent publications [9,8,27]).”
Local tameness of v-noetherian monoids (2008, background): “Recent results on this invariant can be found in [1, 3 ,4,17,18].”