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- W2025758498 abstract "Abstract An axiomatic approach is developed concerning the existence of a basis for certain fuzzy algebraic substructures. Let the set of truth values be a complete Brouwerian lattice L . Let G be an Abelian group. We show that there exists an L -subgroup of G which does not have a p -basis even if G is finite. Let F be a field of characteristic p > 0 and let A , B be L -subfields of F such that A ⊇ B . We show there exists an intermediate L -subfield of A / B which does not have a relative p -basis over B even if F has finite relative imperfection degree over the support of B . When L = [0, 1], we show that every fuzzy subgroup of G with the sup property has a p -basis and that every intermediate fuzzy subfield of A / B with the sup property has a relative p -basis if certain compatibility conditions hold." @default.
- W2025758498 created "2016-06-24" @default.
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- W2025758498 date "1994-03-01" @default.
- W2025758498 modified "2023-09-27" @default.
- W2025758498 title "Bases of fuzzy algebraic substructures" @default.
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- W2025758498 doi "https://doi.org/10.1016/0165-0114(94)90058-2" @default.
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