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Abstract
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The notions of coannihilator and coannulet in a residuated lattice are investigated. For a residuated lattice A, it is shown that γ(A), the set of coannulets of A,
is a sublattice of Γ(A), the Boolean lattice of coannihilators of A. It is observed that
γ(A) is a Boolean sublattice of Γ(A) if and only if A is quasicomplemented and γ(A)
is a sublattice of F(A), the filter lattice of A, if and only if A is normal. Finally, it is
shown that γ(A) is a Boolean sublattice of F(A) if and only if A is generalized Stone.
During this research, some facts about coannihilators, coannulets and dual coannulets
of a residuated lattice are also obtained which are given in the paper.
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