Some remarks on the Jacobson radical types of semirings and related problems

DOI10.1007/s10013-016-0226-7zbMath1373.16074OpenAlexW2517342334MaRDI QIDQ2405492

Nguyen Xuan Tuyen, Le Hoang Mai

Publication date: 25 September 2017

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-016-0226-7

zbMATH Keywords

semisimple semirings\(J_s\)-radical of semiringsadditively \(\pi\)-regular semiringsanti-bounded semiringszerosumfree commutative semirings

Mathematics Subject Classification ID

Semirings (16Y60) Radicals and radical properties of associative rings (16N99)

Cites Work

• Absolute algebra. III: The saturated spectrum
• On radical classes of hemirings.
• Absolute algebra. II: Ideals and spectra
• On the radical theory of semirings
• \(V\)-semirings.
• Supertropical algebra
• On the Jacobson radical of semiring
• ON THE INTERRELATION BETWEEN RADICAL THEORIES FOR SEMIRINGS AND RINGS
• Onp-Schreier Varieties of Semimodules
• On the definition of a family of automata
• On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective
• WEAKLY SPECIAL CLASSES OF HEMIRINGS
• THREE SPECIAL RADICALS FOR HEMIRINGS
• RADICAL THEORY FOR SEMIRINGS
• A NOTE ON RADICALS FOR HEMIRINGS
• Note on a simple type of algebra in which the cancellation law of addition does not hold
• On Subtractive Semisimple Semirings
• On Radicals of Semirings and Related Problems
• The Jacobson Radical of a Semiring
• Tropical algebraic geometry
• Tropical algebraic geometry
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