Ordinal sum of equality algebras

In this paper, by using the notion of ordinal sum of equality algebras which is defined in [۴], weinvestigate some related properties and different kinds of filters of it such as prime and maximal. Inaddition, by focusing on chain equality algebra, we define the concept of a cut of an equality algebraand use it to introduce a new ordinal sum of them. By defining a relation relative to a cut, we showthat the family of classes is made a cone algebra. Finally, we prove that every chain equality algebracan be represented as an ordinal sum of chain cone algebras.

کلیدواژه ها:

Equality algebra ، Ordinal sum ، Filter ، cone algebra