AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS

Document Type: Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Higher Education Center of Eghlid, Eghlid, Iran

2 Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

Abstract

In this paper, we introduce the notion of co-annihilator of a subset
in a triangle algebra. It is shown that the co-annihilator of a
subset is an interval valued residuated lattice (IVRL)-filter. Also, a
special set of a triangle algebra is defined and the relationship
between this set and co-annihilator of a subset in triangle algebra
is considered. Finally, co-annihilators preserving congruence
relation, or $CP$-congruence are defined and some results of them
are given.

Keywords


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