TY - JOUR
ID - 4287
TI - AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Zahiri, Saeide
AU - Borumand Saeid, Arsham
AU - Zahiri, Masoome
AD - Department of Mathematics, Faculty of Science, Higher Education
Center of Eghlid, Eghlid, Iran
AD - Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Y1 - 2018
PY - 2018
VL - 15
IS - 7
SP - 91
EP - 102
KW - Triangle algebra
KW - IVRL-filter
KW - Co-annihilator
KW - congruence
DO - 10.22111/ijfs.2018.4287
N2 - In this paper, we introduce the notion of co-annihilator of a subsetin a triangle algebra. It is shown that the co-annihilator of asubset is an interval valued residuated lattice (IVRL)-filter. Also, aspecial set of a triangle algebra is defined and the relationshipbetween this set and co-annihilator of a subset in triangle algebrais considered. Finally, co-annihilators preserving congruencerelation, or $CP$-congruence are defined and some results of themare given.
UR - https://ijfs.usb.ac.ir/article_4287.html
L1 - https://ijfs.usb.ac.ir/article_4287_f541cf67d89c7f5721b56ded5956c85f.pdf
ER -