In the present paper, some characterizations of -hyperconnected ideal topological spaces are investigated. Moreover, we introduce the notion of --hyperconnected ideal topological spaces. Several characterizations of --hyperconnected ideal topological spaces are discussed. Furthermore, we introduce and study --irreducible ideal topological spaces.

中文翻译：

---

*超连通理想拓扑空间的刻画

在本文中，研究了-超连通理想拓扑空间的一些特征。此外，我们介绍了--超连通理想拓扑空间的概念。一些表征的- -hyperconnected理想拓扑空间进行了讨论。此外，我们介绍和研究-不可约的理想拓扑空间。