On Neutrosophic RM-algebras


Rezaei A., Öner T. , Smarandache F.

in: NeutroAlgebra Theory , Prof. Dr. Florentin Smarandache,Prof. Dr. Memet Şahin,Assoc. Prof. Dr. Derya Bakbak,Assistant Prof. Dr. Vakkas Uluçay,PhD Abdullah Kargın, Editor, The Educational Publisher Inc., Ohio, pp.31-49, 2021

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2021
  • Publisher: The Educational Publisher Inc.
  • City: Ohio
  • Page Numbers: pp.31-49
  • Editors: Prof. Dr. Florentin Smarandache,Prof. Dr. Memet Şahin,Assoc. Prof. Dr. Derya Bakbak,Assistant Prof. Dr. Vakkas Uluçay,PhD Abdullah Kargın, Editor

Abstract

In this chapter, we introduced the notion of neutrosophic filters in RM-algebras. Moreover, implicative neutrosophic filters on RM-algebras is defined and the relation between implicative neutrosophic filters and neutrosophic filters in investigated. Further, some necessary and sufficient conditions for a neutrosophic filter to be implicative neutrosophic filter are investigated