AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

Authors

  • 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
  • Saeide Zahiri Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran
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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Journal title

volume 15  issue 7

pages  91- 102

publication date 2018-10-30

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