Properties of factorizations with successive lengths in one-dimensional local domains
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Publication:847953
DOI10.1216/JCA-2009-1-2-237zbMath1223.13001MaRDI QIDQ847953
Publication date: 19 February 2010
Published in: Journal of Commutative Algebra (Search for Journal in Brave)
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Units and factorization (11R27) Integral domains (13G05) Divisibility and factorizations in commutative rings (13A05) Local rings and semilocal rings (13H99)
Related Items (10)
Factorization of powers in \(C\)-monoids. ⋮ The monotone catenary degree of Krull monoids. ⋮ Factorizations of the same length in abelian monoids ⋮ On strongly primary monoids, with a focus on Puiseux monoids ⋮ The monotone catenary degree of monoids of ideals ⋮ On the arithmetic of stable domains ⋮ On the arithmetic of tame monoids with applications to Krull monoids and Mori domains. ⋮ Arithmetic of seminormal weakly Krull monoids and domains ⋮ On the arithmetic of Krull monoids with finite Davenport constant. ⋮ A characterization of length-factorial Krull monoids
Cites Work
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- Factorization in integral domains
- Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
- Elasticity of factorizations in integral domains
- Chains of factorizations and sets of lengths
- Factorization in finitely generated domains.
- Arithmetical properties of one-dimensional, analytically ramified local domains
- Elasticity of factorizations in atomic monoids and integral domains
- 1-dimensional Cohen-Macaulay rings
- On the arithmetic of certain not integrally closed noetheian integral domains
- A structure theorem for sets of lengths
- The canonical module of a one-dimensional reduced local ring
- Congruence monoids
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