In this paper, some results related to properties of various versions in equality algebras are given by using the notion of hyper equality algebras. We introduce some types of filters such as implicative, positive implicative and fantastic filters on hyper equality algebras and prove some results determining the relation between these filters. Further, it is shown that every (\(S_\sim \)-reflexive) positive implicative filter of a hyper equality algebra \(\mathcal {H}\) is a weak (strong) filter of \(\mathcal {H}\). Finally, we prove that every \(S_\sim \)-reflexive implicative filter of \(\mathcal {H}\) is a (fantastic filter) positive implicative filter of \(\mathcal {H}\).

在本文中，通过使用超相等代数的概念，给出了与相等代数中各个版本的性质有关的一些结果。我们介绍了一些类型的过滤器，例如超等式代数上的隐含，正隐含和奇异过滤器，并证明了确定这些过滤器之间关系的一些结果。此外，示出的是每（\（S_ \ SIM \）的超平等代数的-reflexive）正蕴涵滤波器\（\ mathcal {H} \）是弱（强）滤波器\（\ mathcal {H} \）。最后，我们证明了每一个\（S_ \卡\） -reflexive含蓄的过滤器\（\ mathcal {H} \）是（梦幻般的过滤器）的正关联过滤器\（\ mathcal {H} \） 。