Factorization in Krull monoids with infinite class group
From MaRDI portal
Publication:4261718
DOI10.4064/cm-80-1-23-30zbMath0936.20050OpenAlexW1502129918MaRDI QIDQ4261718
Publication date: 21 February 2000
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/210702
Commutative semigroups (20M14) Units and factorization (11R27) Free semigroups, generators and relations, word problems (20M05) Commutative Noetherian rings and modules (13E05) Integral domains (13G05) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05)
Related Items (31)
On length densities ⋮ A realization result for systems of sets of lengths ⋮ Products of \(k\) atoms in Krull monoids ⋮ Power monoids: a bridge between factorization theory and arithmetic combinatorics ⋮ Semigroup rings as weakly Krull domains ⋮ A construction of integer-valued polynomials with prescribed sets of lengths of factorizations ⋮ Finding Elements With Given Factorization Lengths and Multiplicities ⋮ Sets of Lengths ⋮ Sets of lengths of factorizations of integer-valued polynomials on Dedekind domains with finite residue fields ⋮ Monoids of modules over rings of infinite Cohen-Macaulay type ⋮ On product-one sequences over subsets of groups ⋮ Sets of lengths in maximal orders in central simple algebras. ⋮ Systems of sets of lengths of Puiseux monoids ⋮ The system of sets of lengths and the elasticity of submonoids of a finite-rank free commutative monoid ⋮ Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids ⋮ Full elasticity in atomic monoids and integral domains. ⋮ A characterization of Krull monoids for which sets of lengths are (almost) arithmetical progressions ⋮ On the Delta set and catenary degree of Krull monoids with infinite cyclic divisor class group. ⋮ On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. ⋮ Systems of sets of lengths. II ⋮ The system of sets of lengths in Krull monoids under set addition ⋮ A realization theorem for sets of lengths in numerical monoids ⋮ Factorization theory in commutative monoids ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences ⋮ A realization theorem for sets of lengths ⋮ Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group ⋮ Arithmetical characterization of class groups of the form \(\mathbb Z/n\mathbb Z\oplus\mathbb Z/n\mathbb Z\) via the system of sets of lengths. ⋮ On transfer homomorphisms of Krull monoids ⋮ Elasticities of Krull monoids with infinite cyclic class group ⋮ Factoriality and class groups of cluster algebras ⋮ On semigroup algebras with rational exponents
This page was built for publication: Factorization in Krull monoids with infinite class group
