Title of article
Commutative True-False ideals in BCI/BCK-algebras
Author/Authors
Mohseni Takallo ، Mohammad Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University , Borzooei ، Rajab Ali Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University , Aaly Kologani ، Mona Hatef Higher Education Institute , Jun ، Young Bae Department of Mathematics Education - Gyeongsang National University
From page
155
To page
172
Abstract
The notion of a (limited) commutative T F-ideal in BCK-algebras and BCIalgebras is introduced, and their properties are investigated. A relationship between a T Fideal and a commutative T F-ideal in BCK-algebras and BCI-algebras is established, and examples to show that any T F-ideal may not be commutative are given. Proper conditions for a T F-ideal to be commutative are provided. Using a commutative ideal of a BCKalgebra and a BCI-algebra, a commutative T F-ideal is established. The closed T F-ideal in a BCI-algebra is introduced, and a condition for a closed T F-ideal to be commutative is discussed. Characterization of a commutative T F-ideal in a BCI-algebra is considered.
Keywords
Closed T F , ideal , (limited) Commutative T F , ideal , (limited) T F , ideal , (limited) T F , subalgebra , T F , ◦ , subalgebra , True , False structure
Journal title
Journal of Algebraic Structures and Their Applications
Journal title
Journal of Algebraic Structures and Their Applications
Record number
2760452
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