%0 Journal Article
%T AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Zahiri, Saeide
%A Borumand Saeid, Arsham
%A Zahiri, Masoome
%D 2018
%\ 10/30/2018
%V 15
%N 7
%P 91-102
%! AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS
%K Triangle algebra
%K IVRL-filter
%K Co-annihilator
%K congruence
%R 10.22111/ijfs.2018.4287
%X 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.
%U https://ijfs.usb.ac.ir/article_4287_f541cf67d89c7f5721b56ded5956c85f.pdf