# Article

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Keywords:
convergence $\ell$-group; disjoint subset; direct product; lexico extension
Summary:
In this paper we deal with the relation $\lim _\alpha \lim _\alpha X=\lim _\alpha X$ for a subset $X$ of $G$, where $G$ is an $\ell$-group and $\alpha$ is a sequential convergence on $G$.
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