Positive implicative True-False ideals in BCK-algebras
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...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Shahid Bahonar University of Kerman
2022-11-01
|
| Series: | Journal of Mahani Mathematical Research |
| Subjects: | |
| Online Access: | https://jmmrc.uk.ac.ir/article_3324_652488ba4bd146fb12cd6ec1e9153911.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | 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. |
|---|---|
| ISSN: | 2251-7952 2645-4505 |