Arithmetic Congruence Monoids: A Survey

DOI10.1007/978-1-4939-1601-6_2zbMath1371.11002OpenAlexW82679384MaRDI QIDQ5265385

Paul Baginski, Scott Thomas Chapman

Publication date: 23 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-1601-6_2

zbMATH Keywords

arithmetic progressionsKrull monoidsmonoidelasticity of factorizationnonunique factorization

Mathematics Subject Classification ID

Commutative semigroups (20M14) Congruences; primitive roots; residue systems (11A07) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items

Sets of arithmetical invariants in transfer Krull monoids, ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS, Accepted elasticity in local arithmetic congruence monoids., Arithmetic of Congruence Monoids, A characterization of seminormal C-monoids, On the periodicity of irreducible elements in arithmetical congruence monoids, Arithmetic of seminormal weakly Krull monoids and domains, Numerical Semigroups on Compound Sequences, Multiplicative factorization in numerical semigroups, On elasticities of locally finitely generated monoids, On atomic density of numerical semigroup algebras

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