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Decomposition theorems and representation theorems of \(L\)-fuzzy fields. (English) Zbl 0883.12005

This paper deals with \(L\)-fuzzy subfields of a field, where \(L\) is a complete distributed lattice. The authors show that \(A\) is an \(L\)-fuzzy subfield of a field \(F\) if and only if certain level sets are subfields of \(F\). The authors also give several representation theorems of \(L\)-fuzzy subfields.

MSC:

12K99 Generalizations of fields
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