One-generated semirings and additive divisibility

DOI10.1142/S0219498817500384zbMath1358.16038MaRDI QIDQ2965722

Günter Landsmann, Miroslav Korbelar

Publication date: 3 March 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

embeddingnumerical semigroupcommutative semiringdivisible semigroupadditively idempotent semi\-ring

Mathematics Subject Classification ID

Related Items (4)

Torsion and divisibility in finitely generated commutative semirings ⋮ Torsion factors of commutative monoid semirings ⋮ Semifields and a theorem of Abhyankar ⋮ Divisibility and groups in one-generated semirings

Cites Work

• Numerical semigroups.
• Gröbner-Shirshov bases for semirings.
• Reduction relations for monoid semirings
• Conjectures on additively divisible commutative semirings
• CLASSIFICATION OF FINITE CONGRUENCE-SIMPLE SEMIRINGS WITH ZERO
• Finitely generated algebraic structures with various divisibility conditions
• Minimal commutative divisible semigroups
• Simple commutative semirings
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