1 School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box 19395-5746, Tehran, Iran.
Current address: Department of Mathematics, Bu-Ali Sina University, P. O. Box 65175-4161, Hamedan, Iran
Studying certain combinatorial properties of non-unique factorizations
have been a subject of recent literature. 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.
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