群与群对的直积的品种力
On Varietal Capability of Direct Products of Groups and Pair of Groups
摘要：
本文给出了群的直积是$\mathcal{V}-$可积的充要条件是它的每个因子对某些簇$\mathcal{V}$是$\mathcal{V}-$可积的.此外，我们还给出了有限群对族的直积是可群的充要条件是它的每个因子都是可群对。
英文摘要：
In this paper we give some conditions in which a direct product of groups is $\mathcal{V}-$capable if and only if each of its factors is $\mathcal{V}-$capable for some varieties $\mathcal{V}$. Moreover, we give some conditions in which a direct product of a finite family of pairs of groups is capable if and only if each of its factors is a capable pair of groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
