Pseudo-valuations and pseudo-metric on JU-algebras
Usman Ali, Moin A. Ansari, Masood Ur Rehman · Open Journal of Mathematical Sciences · 2019
In 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.