On 0-simple semirings, semigroup semirings, and two kinds of division semirings

DOI10.1007/BF02572492zbMath0526.16031OpenAlexW2075925037MaRDI QIDQ594988

Hanns Joachim Weinert

Publication date: 1984

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/134658

zbMATH Keywords

matrix semirings0-simple semiringscontracted semigroup semiringsdivision semirings

Mathematics Subject Classification ID

Semigroup rings, multiplicative semigroups of rings (20M25) Semirings (16Y60) Division rings and semisimple Artin rings (16Kxx)

Related Items (9)

Congruence-free commutative semirings ⋮ Arithmetic of semigroup semirings. ⋮ Homomorphisms and kernels of semifields ⋮ A kurosh-amitsur radical theory for proper semifields ⋮ Generalized semigroup semirings which are zero-divisor-free or multiplicatively left-cancellative ⋮ Simple commutative semirings ⋮ Predicate liftings and functor presentations in coalgebraic expression languages ⋮ Free commutative semifields ⋮ On quasi-ideals in contracted semigroup rings

Cites Work

• On the additive semigroup structure of semirings
• Regular semirings
• Seminearrings, seminearfields and their semigroup-theoretical background
• Some remarks on the invariant basis property
• ON A WEDDERBURN-ARTIN STRUCTURE THEORY OF A POTENT SEMIRING
• Über die Struktursätze der Semiringe
• On locally compact Halfrings
• Matrix Representation of Simple Halfrings
• Über Halbringe und Halbkörper. I
• Completely 0-Simple Semirings
• The Jacobson Radical of a Semiring
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