Correspondence theorem for fuzzy ideals (Q1175285)

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scientific article; zbMATH DE number 11298
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Correspondence theorem for fuzzy ideals
scientific article; zbMATH DE number 11298

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    Correspondence theorem for fuzzy ideals (English)
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    25 June 1992
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    The notion of fuzzy ideal was recently discussed by the authors [cf. ibid. 37, No. 2, 237-243 (1990; Zbl 0709.16001)]. The title theorem uses epimorphisms of rings to state a one-to-one correspondence between fuzzy ideals of considered rings. The application of the ``sup property'' at the end of the paper is superfluous as it was noted by \textit{R. Kumar} [ibid. 44, 165-168 (1991)] in the case of fuzzy groups.
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    epimorphisms
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    one-to-one correspondence
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    fuzzy ideals
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