A non-commutative generalization of Łukasiewicz rings

DOI10.1016/j.jal.2016.04.001zbMath1436.06031arXiv1410.2617OpenAlexW2520467409MaRDI QIDQ301364

Jean B. Nganou, Albert Kadji, Celestin Lele

Publication date: 30 June 2016

Published in: Journal of Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2617

zbMATH Keywords

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

Related Items (1)

A semiring-like representation of lattice pseudoeffect algebras

Cites Work

• 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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