On elasticities of locally finitely generated monoids

DOI10.1016/j.jalgebra.2019.05.031zbMath1423.13015arXiv1807.11523OpenAlexW2887208149WikidataQ127656240 ScholiaQ127656240MaRDI QIDQ2312855

Qinghai Zhong

Publication date: 18 July 2019

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11523

zbMATH Keywords

elasticityasymptotic elasticityfinitely generated monoidweakly Krull monoidfully elasticlocally finitely generated monoid

Mathematics Subject Classification ID

Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

Related Items

Lattices over Bass rings and graph agglomerations ⋮ On product-one sequences over dihedral groups ⋮ Factorizations in evaluation monoids of Laurent semirings ⋮ Upper triangular matrices over information algebras ⋮ Factorization under local finiteness conditions ⋮ ON THE ARITHMETIC OF MORI MONOIDS AND DOMAINS ⋮ Complement-Finite Ideals ⋮ Factorization theory in commutative monoids ⋮ Factorization invariants of Puiseux monoids generated by geometric sequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the elasticity of generalized arithmetical congruence monoids.
• Arithmetic of seminormal weakly Krull monoids and domains
• Elastic properties and prime elements.
• On the asymptotic behaviour of lengths of factorizations
• Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
• Elasticity of factorizations in integral domains
• A divisor theoretic approach towards the arithmetic of Noetherian domains
• On the set of elasticities in numerical monoids
• Sets of arithmetical invariants in transfer Krull monoids
• Full elasticity in atomic monoids and integral domains.
• Asymptotic elasticity in atomic monoids.
• Arithmetic of Mori Domains and Monoids: The Global Case
• On Monoids and Domains Whose Monadic Submonoids Are Krull
• Elasticity in Polynomial-Type Extensions
• Length functions in commutative rings with zero divisors
• Length Functions on Integral Domains
• Atomic domains in which almost all atoms are prime
• Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids
• Arithmetic Congruence Monoids: A Survey