Author/Authors :
Borzooei, Rajabali Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University - Tehran, Iran , Mohseni Takallo, M. Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University - Tehran, Iran , Bae Jun, Young Department of Mathematics Education - Gyeongsang National University - Chinju, Republic of Korea , Aaly Kologani, M. Hatef Higher Education Institute - Zahedan, Iran
Abstract :
In BCK-algebra, the concept of a positive implicative T&F- ideal is introduced, and further several properties are investigated. The relationship between T&F-ideals and positive implicative T&F-ideals is established, and an example is given to reveal that a T&F-ideal is not a positive implicative T&F-ideal. Various conditions under which a T&F- ideal can be a positive implicative T&F-ideal are explored and various characterizations of a positive implicative T&F-ideal are studied. The extended property of a positive implicative T&F-ideal is constructed.
