Rings and Gödel algebras.

DOI10.1007/S00012-010-0092-1zbMath1225.16004OpenAlexW1995021079MaRDI QIDQ616126

Antonio Di Nola, Enrico Marchioni, Lawrence Peter Belluce

Publication date: 7 January 2011

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00012-010-0092-1

zbMATH Keywords

Heyting algebraslattices of idealsvon Neumann regular ringsnoncommutative ringsGödel algebrasGödel ringsmonoids of idealssubdirect products of prime rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Heyting algebras (lattice-theoretic aspects) (06D20) Frames, locales (06D22) MV-algebras (06D35) Ideals in associative algebras (16D25) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (1)

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Cites Work

• Prime ideals in regular self-injective rings. II
• Representation of algebraic distributive lattices with \(\aleph_1\) compact elements as ideal lattices of regular rings
• Lattices and ordered algebraic structures
• On Regular Rings
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