%0 Journal Article %T Very true GE-algebras %J Algebraic Structures and Their Applications %I Yazd University %Z 2382-9761 %A Jun, Young Bae %A Bandaru, Ravi Kumar %A Shaik, Manzoor Kaleem %D 2022 %\ 02/01/2022 %V 9 %N 1 %P 13-30 %! Very true GE-algebras %K GE-algebra %K very true GE-algebra %K very true GE-filter %K simple very true GE-algebra %K uniform space %R 10.22034/as.2021.2302 %X The concept of very true GE-algebra using very true operator is introduced and its properties are studied to expand the scope of research of GE-algebras. The concepts of simple very true GE-algebra and very true GE-filter are introduced. The characterization of simple very true GE-algebra is discussed, and several properties on very true GE-filter are investigated. Using a very true GE-filter, the quotient very true GE-algebra is constructed, and the uniform and topological space are established. %U https://as.yazd.ac.ir/article_2302_fba450c518431ea46087b70cae24499c.pdf