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AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

Publish Year: 1397
Type: Journal paper
Language: English
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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.

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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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