Author/Authors :
Bae Jun, Young Department of Mathematics Education - Gyeongsang National University, Jinju, Korea , Kumar Bandaru, Ravi Department of Mathematics - Hyderabad Campus, Telangana, India , Kaleem Shaik, Manzoor Department of Mathematics - Joseph's Degree College, Andhra Pradesh, India
Abstract :
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.
Keywords :
GE-algebra , very true GE-algebra , very true GE-filter , simple very true GE-algebra , uniform space