The monotone catenary degree of Krull monoids.

DOI10.1007/s00025-012-0250-1zbMath1278.20079OpenAlexW2076008658MaRDI QIDQ351098

Alfred Geroldinger, Pingzhi Yuan

Publication date: 11 July 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-012-0250-1

zbMATH Keywords

Davenport constantKrull monoidsnon-unique factorizationschains of factorizationslengths of factorizationsmonotone catenary degrees

Mathematics Subject Classification ID

Commutative semigroups (20M14) Free semigroups, generators and relations, word problems (20M05) Additive bases, including sumsets (11B13) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Inverse problems of additive number theory, including sumsets (11P70) Arithmetic theory of semigroups (20M13)

Related Items

Semigroup-theoretical characterizations of arithmetical invariants with applications to numerical monoids and Krull monoids. ⋮ THE CATENARY AND TAME DEGREES ON A NUMERICAL MONOID ARE EVENTUALLY PERIODIC ⋮ Unnamed Item ⋮ The monotone catenary degree of monoids of ideals ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ A characterization of length-factorial Krull monoids ⋮ A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems

Uses Software

• numericalsgps

Cites Work

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