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Arithmetical semigroups defined by congruences

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Publication:810642
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DOI10.1007/BF02573406zbMath0734.20027OpenAlexW2019139801MaRDI QIDQ810642

Franz Halter-Koch

Publication date: 1991

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

Full work available at URL: https://eudml.org/doc/135064


zbMATH Keywords

congruencesunique factorizationarithmetical congruence semigroupsdivisor theorymultiplicative subsemigroups of natural numbers


Mathematics Subject Classification ID

Commutative semigroups (20M14) Congruences; primitive roots; residue systems (11A07)


Related Items

Genus characters and the arithmetic of commutative monoids ⋮ T-block monoids and their arithmetical applications to certain integral domains ⋮ On the elasticity of generalized arithmetical congruence monoids. ⋮ Computation of delta sets of numerical monoids. ⋮ Arithmetic of Congruence Monoids ⋮ On the delta set of a singular arithmetical congruence monoid. ⋮ A theorem on accepted elasticity in certain local arithmetical congruence monoids. ⋮ Arithmetic Congruence Monoids: A Survey



Cites Work

  • Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
  • Unique Factorization in Multiplicative Systems


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