Fuzzy algebraic varieties

DOI10.1216/RMJM/1181072497zbMath0828.14001OpenAlexW2079811768MaRDI QIDQ1328242

John N. Mordeson

Publication date: 8 January 1996

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181072497

zbMATH Keywords

fuzzy idealfuzzy singletonfuzzy algebraic variety

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) Varieties and morphisms (14A10) Foundations of algebraic geometry (14A99)

Related Items (13)

Structure of fuzzy subrings ⋮ Completions and fuzzy power series subrings ⋮ Fuzzy intersection equations and primary representations ⋮ Fractionary fuzzy ideals and Dedekind domains ⋮ Existence and uniqueness of fuzzy ideals ⋮ Rough set theory applied to (fuzzy) ideal theory ⋮ A HISTORICAL OVERVIEW OF FUZZY MATHEMATICS ⋮ Some comments on spectrums of prime fuzzy ideals of a ring ⋮ Fuzzy localized subrings ⋮ Local examination of fuzzy intersection equations ⋮ Fuzzy commutative algebra and intersection equations ⋮ Fuzzy coefficient fields of fuzzy subrings ⋮ Fuzzy intersection equations

Cites Work

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• Fuzzy primary representations of fuzzy ideals
• Irreducibility in algebraic fuzzy systems
• Fuzzy prime ideals and fuzzy radical ideals
• Fuzzy prime ideals of a ring
• Fuzzy maximal, radical, and primary ideals of a ring
• Operations on fuzzy ideals
• Fuzzy prime ideals of rings
• Prime L-fuzzy ideals and primary L-fuzzy ideals
• Prime fuzzy ideals in rings
• A characterization of \(L\)-fuzzy prime ideals
• Radicals of fuzzy ideals
• A note on \(L\)-fuzzy primary and semiprime ideals
• On prime and primary fuzzy ideals and their radicals
• On fuzzy ideals of a ring. I
• Fuzzy groups
• Fuzzy sets

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