Fuzzy coefficient fields of fuzzy subrings (Q1319128)

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scientific article; zbMATH DE number 549411
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Fuzzy coefficient fields of fuzzy subrings
scientific article; zbMATH DE number 549411

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    Fuzzy coefficient fields of fuzzy subrings (English)
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    30 October 1995
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    The author fuzzificates some notions from algebraic geometry. He discusses fuzzy topological spaces, pseudo-metrics and Cauchy sequences and introduces fuzzy subfields and fuzzy coefficient fields of fuzzy subrings. Conditions are given for a fuzzy subring of a commutative ring with unit to have a fuzzy coefficient field with respect to a fuzzy ideal. A number of fundamental facts about such objects are proved.
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    fuzzy spaces
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    fuzzy subring
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    fuzzy ideal
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