The dynamics of nearly abelian polynomial semigroups at infinity
نویسندگان
چکیده
منابع مشابه
Polynomial growth of sumsets in abelian semigroups
Let S be an abelian semigroup, and A a finite subset of S. The sumset hA consists of all sums of h elements of A, with repetitions allowed. Let |hA| denote the cardinality of hA. Elementary lattice point arguments are used to prove that an arbitrary abelian semigroup has polynomial growth, that is, there exists a polynomial p(t) such that |hA| = p(h) for all sufficiently large h. Lattice point ...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1997
ISSN: 0386-2194
DOI: 10.3792/pjaa.73.36