Generalized Łukasiewicz rings

DOI10.1007/s00500-017-2575-xzbMath1420.06020OpenAlexW2606832333MaRDI QIDQ1701723

Jean B. Nganou, Albert Kadji, Celestin Lele

Publication date: 27 February 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2575-x

zbMATH Keywords

Jacobson radicalMV-algebraBrown-McCoy radicalpseudo-MV-algebraDubrovin valuation ringŁukasiewicz ringQF-ringsemi-ringspecial primary ring

Mathematics Subject Classification ID

Valuations and their generalizations for commutative rings (13A18) Ideals and multiplicative ideal theory in commutative rings (13A15) MV-algebras (06D35)

Cites Work

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• On dual rings and their modules
• Metamathematics of fuzzy logic
• An elementary presentation of the equivalence between MV-algebras and \(\ell\)-groups with strong unit
• Algebraic foundations of many-valued reasoning
• Dual rings
• Commutative rings whose ideals form an MV-algebra
• Pseudo MV-algebras are intervals in ℓ-groups
• Multiplication Rings Via Their Total Quotient Rings
• On pseudo MV-algebras

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