On the number of factorizations of an element in an atomic monoid

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On the Number of Factorizations of an Element in an Atomic Monoid

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 s ∈ S. 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 < lim n→∞ η(sn) nr(s)−1 <∞. We fur...

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ژورنال

عنوان ژورنال: Advances in Applied Mathematics

سال: 2002

ISSN: 0196-8858

DOI: 10.1016/s0196-8858(02)00025-8