AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS
Publish place: Iranian Journal of Fuzzy Systems، Vol: 15، Issue: 7
Publish Year: 1397
Type: Journal paper
Language: English
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Document National Code:
JR_IJFS-15-7_008
Index date: 7 June 2022
AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS abstract
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.
AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS Keywords:
AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS authors
Saeide Zahiri
Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran
Arsham Borumand Saeid
Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Masoome Zahiri
Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran
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