Title of article
POSITIVE IMPLICATIVE TRUE-FALSE IDEALS IN BCK-ALGEBRAS
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
Pages
17
From page
69
To page
85
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.
Keywords
True-False structure , (limited) T&F-ideal , (limited) positive implicative T&F-ideal
Journal title
Journal of Mahani Mathematical Research Center
Serial Year
2022
Record number
2733057
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