ON FINITELY STABLE ADDITIVE BASES

Main Article Content

LUCAS Y. OBATA
LUAN A. FERREIRA
GIULIANO G. LA GUARDIA

Abstract

The concept of additive basis has been investigated in the literature for several mathematicians which works with number theory. Recently, the concept of finitely stable additive basis was introduced. In this note we provide a counterexample of the reciprocal of Theorem 2.2 shown in [Ferreira, L.A.: Finite Stable Additive Basis; Bull. Aust. Math. Soc.]. The idea of the construction of such a counterexample can possibly help the process of finding additive bases of some specific orders.

Keywords:
Additive basis, finitely stable basis, order of a basis, Lagrange Theorem

Article Details

How to Cite
OBATA, L. Y., FERREIRA, L. A., & GUARDIA, G. G. L. (2021). ON FINITELY STABLE ADDITIVE BASES. Asian Journal of Current Research, 6(4), 1-4. Retrieved from https://ikprress.org/index.php/AJOCR/article/view/7199
Section
Original Research Article

References

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