Congruence monoids
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Publication:4811227
DOI10.4064/aa112-3-4zbMath1057.13003OpenAlexW4241496686MaRDI QIDQ4811227
Franz Halter-Koch, Alfred Geroldinger
Publication date: 18 August 2004
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: http://journals.impan.gov.pl/aa/Inf/112-3-4.html
Commutative semigroups (20M14) Units and factorization (11R27) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05)
Related Items (24)
Properties of factorizations with successive lengths in one-dimensional local domains ⋮ Factorization of powers in \(C\)-monoids. ⋮ Unnamed Item ⋮ On the elasticity of generalized arithmetical congruence monoids. ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ Factorization under local finiteness conditions ⋮ ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS ⋮ Geometric and combinatorial aspects of submonoids of a finite-rank free commutative monoid ⋮ Accepted elasticity in local arithmetic congruence monoids. ⋮ Arithmetic of Mori domains and monoids ⋮ Local tameness of \(v\)-Noetherian monoids. ⋮ Weakly half-factorial sets in finite abelian groups ⋮ Arithmetic of Congruence Monoids ⋮ A characterization of seminormal C-monoids ⋮ Chains of Factorizations and Factorizations with Successive Lengths ⋮ C*-algebras from actions of congruence monoids on rings of algebraic integers ⋮ The set of minimal distances in Krull monoids ⋮ On congruence half-factorial Krull monoids with cyclic class group ⋮ On the delta set of a singular arithmetical congruence monoid. ⋮ Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group ⋮ A theorem on accepted elasticity in certain local arithmetical congruence monoids. ⋮ On the class semigroup of root-closed weakly Krull Mori monoids ⋮ Independence of Hecke zeta functions of finite order over normal fields ⋮ Arithmetic Congruence Monoids: A Survey
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