منابع مشابه
Nonbases of Density Zero Not Contained in Maximal Nonbases
A sequence A = {a t } of non-negative integers is a basis if every sufficiently large integer n can be written in the form n = a t+aj with a,, aj e A . If A is not a basis, then A is called a nonbasis . The nonbasis A is maximal if A u {b} is a basis for every b 0 A . We construct a nonbasis A of density zero, in particular, with A(x) = O(V x), such that A cannot be imbedded as a subset of any ...
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A basis is a set A of nonnegative integers such that every sufficiently large integer n can be represented in the form n = a + a i with a , ai e A . If A is a basis, but no proper subset of A is a basis, then A is a minimal basis . A nonbasis is a set of nonnegative integers that is not a basis, and a nonbasis A is maximal if every proper superset of A is a basis . In this paper, minimal bases ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1975
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1975-0357363-0