Basic algebras, as algebras of type $$\langle2,1,0\rangle$$, generalize, e.g., MV-algebras and orthomodular lattices. The authors introduce and study certain unary operators on basic algebras, called existential (resp. universal) quantifiers, which are special cases of the closure (resp. interior) operators with respect to the naturally defined orders.

### MSC:

 06D35 MV-algebras 03G25 Other algebras related to logic

### Keywords:

basic algebra; monadic basic algebra; quantifier
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### References:

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