In this paper, we characterize pseudocomplemented lattices with (ACC) and (DCC) by using their sublattices. Specifically speaking, we give a necessary and sufficient condition that a lattice with (ACC) and (DCC) is pseudocomplemented by using its nine sublattices. Moreover, we describe the interval pseudocomplementedness of semimodular lattices with (ACC) and (DCC) by their sublattices equivalently.

中文翻译：

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用排除的0-子格刻画伪互补格

在本文中，我们利用（ACC）和（DCC）的子格来刻画伪互补格。具体而言，我们给出了一个充要条件，即使用（ACC）和（DCC）的晶格通过使用其9个子晶格进行伪补码。此外，我们用（ACC）和（DCC）等效地描述了半模晶格的区间伪互补性。