Document Type : Original Article
Hatef Higher Education Institute, Zahedan, Iran
School of Mathematics, Northwest University, Xi'an 710127, China
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Department of Mathematics, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
The notion of a positive implicative equality algebras are defined, and related properties are studied. Characterizations of a positive implicative equality algebra is investigated. Conditions for an equality algebra to be positive implicative are provided. Equality algebra with some types is considered, and several properties are investigated. Using equality algebra with some types, we characterize a commutative equality algebra and a positive implicative algebra.