All Title Author
Keywords Abstract

Mathematics  2010 

The catenary and tame degree of numerical monoids generated by generalized arithmetic sequences

Full-Text   Cite this paper   Add to My Lib

Abstract:

Studying ceratin combinatorial properties of non-unique factorizations have been a subject of recent literatures. Little is known about two combinatorial invariants, namely the catenary degree and the tame degree, even in the case of numerical monoids. In this paper we compute these invariants for a certain class of numerical monoids generated by generalized arithmetic sequences. We also show that the difference between the tame degree and the catenary degree can be arbitrary large even if the number of minimal generators is fixed.

Full-Text

comments powered by Disqus