Commutative Active Subsets of Bck-Algebras with Sub Algebrs

  • Senthilkumar S Assistant Professor of Mathematics, PG & Research Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai – 635 207,Krishnagiri, Tamilnadu, India
  • Vinoth S Assistant Professor of Mathematics, PG & Research Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai – 635 207,Krishnagiri, Tamilnadu, India.
  • Sivasankar S Assistant Professor of Mathematics, PG & Research Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai – 635 207,Krishnagiri, Tamilnadu, India.
Keywords: S-Active Subset, I-Active Subset, C-Active Subset, Anti) Fuzzy Commutative Ideal, (Anti) Porous I-Value, (Anti) Porous C-Value.

Abstract

The concept of a C-active subset and (anti) porous C-value in BCK algebras are introduced and interconnected properties are investigated. Conditions for an factor
t in [0, 1] to be an (anti) porous C-value are provided. Also circumstances for a subset to be a C-active subset are discussed. We decay BCK-algebra by a separation which consists of a C-active subset and a commutative ideal

Published
2018-05-30