Positive implicative equality algebras and equality algebras with some types

Document Type : Original Article


1 Hatef Higher Education Institute, Zahedan, Iran

2 School of Mathematics, Northwest University, Xi'an 710127, China

3 Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea

4 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.