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Reproductive general solutions of equations on Stone algebras. (English) Zbl 1236.06016

Summary: Assuming that a general solution is known, we describe the class of reproductive general solutions of the equation \(f(x_{1}, . . . , x_{n}) = 0\), where \(L\) is a Stone algebra and \(f:L^{n} \rightarrow L\) is a function with substitution property.

MSC:

06E75 Generalizations of Boolean algebras
06D15 Pseudocomplemented lattices
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