FINITELY STABLE ADDITIVE BASES
2018 ◽
Vol 97
(3)
◽
pp. 360-362
An additive basis $A$ is finitely stable when the order of $A$ is equal to the order of $A\cup F$ for all finite subsets $F\subseteq \mathbb{N}$. We give a sufficient condition for an additive basis to be finitely stable. In particular, we prove that $\mathbb{N}^{2}$ is finitely stable.
1972 ◽
Vol 30
◽
pp. 132-133
2017 ◽
Vol E100.A
(12)
◽
pp. 2764-2775
◽
2018 ◽
Vol 58
(11)
◽
pp. 1780-1793
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