Pseudo-valuations and pseudo-metric on JU-algebras

n this paper we have introduced the concept of pseudo-valuations on JU-algebras and have investigated the relationship between pseudo-valuations and ideals of JU-algebras. Conditions for a real-valued function to be a pseudo-valuation on JU-algebras are given and results based on them have been shown. We have also defined and studied pseudo-metric on JU-algebras and have proved that ϑ being a valuation on a JU-algebras A , the operation ⋄ in A is uniformly continuous.