Algebras Describing Pseudocomplemented, Relatively Pseudocomplemented and Sectionally Pseudocomplemented Posets

In order to be able use methods of universal algebra for investigating posets, we assigned every pseudocomplemented poset, relatively poset and sectionally a certain (based on commutative directoid or λ-lattice) which satisfies identities implications. We show that the algebras fully characterize given corresponding posets. A kind symmetry can seen in relationship between classes mentioned posets directoids λ-lattices representing these relational structures. As paper, this is symmetric. Our results satisfy strong congruence properties transferred back also mention applications such non-classical logics.