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- Title
AN INVESTIGATION ON THE CO-ANNIHILATORS IN TRIANGLE ALGEBRAS.
- Authors
ZAHIRI, S.; SAEID, A. BORUMAND; ZAHIRI, M.
- 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.
- Subjects
ALGEBRA; TRIANGLES; SUBSET selection; BANACH spaces; MATHEMATICAL analysis
- Publication
Iranian Journal of Fuzzy Systems, 2018, Vol 15, Issue 7, p91
- ISSN
1735-0654
- Publication type
Article