Document Type

Article

Publication Date

10-2002

Abstract

Let S be a reduced commutative cancellative atomic monoid. If s is a nonzero element of S, then we explore problems related to the computation of η(s), which represents the number of distinct irreducible factorizations of sS. In particular, if S is a saturated submonoid of Nd, then we provide an algorithm for computing the positive integer r(s) for which 0>limη(sn)nr(s)-1<∞ is constant on the Archimedean components of S. We apply the algorithm to show how to compute limη(sn)nr(s)-1 and also consider various stability conditions studied earlier for Krull monoids with finite divisor class group.

Document Object Identifier (DOI)

10.1016/S0196-8858(02)00025-8

Publication Information

Advances in Applied Mathematics

Included in

Mathematics Commons

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