The socle and fuzzy socle of a \(\text{BCI}\)-algebra

DOI10.1016/0165-0114(94)00351-7zbMath0844.06008OpenAlexW1973800832MaRDI QIDQ1914510

C. S. Hoo

Publication date: 18 June 1996

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-0114(94)00351-7

zbMATH Keywords

fuzzy idealsannihilatorBCI-algebrasorthogonal complementfinitely cogeneratedfuzzy essential closed idealfuzzy socle

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35)

Related Items (2)

Topological MV-algebras ⋮ Some fuzzy concepts of BCI, BCK and MV-algebras

Cites Work

• Semi-simple and complete MV-algebras
• Extensions of MV, BCI and BCK-algebras
• Fuzzy maximal ideals of BCI and MV algebras
• Fuzzy ideals of BCI and MV-algebras
• Fuzzy implicative and Boolean ideals of \(MV\)-algebras
• Fuzzy groups
• Semisimple Algebras of Infinite Valued Logic and Bold Fuzzy Set Theory
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
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