Download or read book A new generalization of𝐵𝐸-algebras written by Pairote Yiarayong and published by Infinite Study. This book was released on with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we introduce the notion of 𝑃𝑆𝑅𝑈-algebras as a generalization of 𝐵𝐸-algebras, we investigate its elementary properties. The aim of this paper is to investigate the concept of filters, left ideals (right ideal, ideal) and fuzzy filters in 𝑃𝑆𝑅𝑈-algebras. Moreover, we investigate relationships between left ideals and filters in 𝑃𝑆𝑅𝑈-algebras. Furthermore, we characterize filters in terms of fuzzy filters. It is shown that if 𝐼be a left ideal of a 𝑃𝑆𝑅𝑈-algebra 𝑋, then 𝐼𝑥is a left ideal of 𝑋for all 𝑥 ∈𝑋.