Representations of equality algebras

In this paper, by using the notions of equality algebras, lters, prime lters, maxi-mal lters and other properties of equality algebras, some di erent representations ofequality algebras are investigated. First of all, by maximal and prime lters, we provedChang's subdirect representation theorem. Then by using the notion of `-groups, wede ned two binary operations on it and showed that they made an equality algebraand investigated under what condition the converse holds.

Keywords:

Equality algebra , prime lter , maximal lter , subdirectly irreducible