Abstract In this paper we prove that the set of all irreducible discrete quasi-copulas coincides with the set of all discrete quasi-copulas with minimal range. We also provide answers, throughout some counterexamples, to two questions posed in Aguilo et al. [2] regarding both discrete quasi-copulas with minimal range and irreducible discrete quasi-copulas. Some additional results concerning discrete (quasi-)copulas are also given.

中文翻译：

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离散 copulas 和准 copulas 的新结果

摘要 本文证明了所有不可约离散拟copula的集合与具有最小范围的所有离散拟copula的集合重合。我们还通过一些反例为 Aguilo 等人提出的两个问题提供了答案。[2] 关于具有最小范围的离散准 copula 和不可约的离散准 copula。还给出了一些关于离散（准）copula 的附加结果。