Abstract
The aim of this paper is to investigate several operators on L-algebras. At first, closure (interior) operators on L-algebras are defined and some properties of them are obtained. Then, existential operators and universal operators on L-algebras are studied, a one-to-one correspondence between the set of all quantifier operators and the set of all relative complete subalgebras of CKL-algebras is constructed. Furthermore, very true operators on L-algebras are investigated and by giving a very true ideal of a very true L-algebra, quotient structures on very true L-algebras are established.
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