On the asymptotic behaviour of lengths of factorizations

DOI10.1016/0022-4049(92)90140-BzbMath0751.20044WikidataQ114215372 ScholiaQ114215372MaRDI QIDQ1183351

Alfred Geroldinger, Franz Halter-Koch

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Krull domainirreducible elementsNoetherian ringmultiplicative semigrouplengths of factorizationscancellative semigroup

Mathematics Subject Classification ID

Commutative semigroups (20M14) Units and factorization (11R27) Free semigroups, generators and relations, word problems (20M05) Integral domains (13G05) Semigroup rings, multiplicative semigroups of rings (20M25) Divisibility and factorizations in commutative rings (13A05)

Related Items (13)

Some factorization properties of Krull domains with infinite cyclic divisor class group ⋮ Factorization length distribution for affine semigroups IV: a geometric approach to weighted factorization lengths in three-generator numerical semigroups ⋮ Factorization in K[Xⁿ, Xⁿ⁺¹,…,X²ⁿ⁻¹] ⋮ FACTORIZATION LENGTH DISTRIBUTION FOR AFFINE SEMIGROUPS III: MODULAR EQUIDISTRIBUTION FOR NUMERICAL SEMIGROUPS WITH ARBITRARILY MANY GENERATORS ⋮ Factorization length distribution for affine semigroups. I: Numerical semigroups with three generators ⋮ Factorization length distribution for affine semigroups. II: Asymptotic behavior for numerical semigroups with arbitrarily many generators ⋮ Rational Elasticity of Factorizations in Krull Domains ⋮ On The Asymptotic Values of Length Functions In Krull And Finitely Generated commutative Monoids ⋮ On elasticities of locally finitely generated monoids ⋮ Inside factorial monoids and integral domains ⋮ On the number of factorizations of an element in an atomic monoid. ⋮ Factorization in \(K[X^ 2,X^ 3\)] ⋮ On the asymptotic behaviour of the number of distinct factorizations into irreducibles

Cites Work

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• Factorization problems in semigroups
• Factorization in integral domains
• Halbgruppen mit Divisorentheorie. (Semigroups with divisor theory)
• On non-unique factorizations into irreducible elements
• On the number and ideal theory of one-dimensional noetherian integral domains.
• An approximation theorem for semigroups with divisor theory
• Finiteness theorems for factorizations
• Realization theorems for semigroups with divisor theory
• Length Functions on Integral Domains
• A Note on Semigroup Rings

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