On Monoids of Ideals of Orders in Quadratic Number Fields
DOI10.1007/978-3-030-43416-8_2zbMath1459.13004arXiv1901.04528OpenAlexW3033587802MaRDI QIDQ5119690
Andreas Reinhart, Alfred Geroldinger, Johannes Brantner
Publication date: 1 September 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04528
Ideal theory for semigroups (20M12) Quadratic extensions (11R11) Units and factorization (11R27) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Arithmetic theory of semigroups (20M13)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The set of distances in seminormal weakly Krull monoids
- A realization theorem for sets of distances
- Factorization problems in semigroups
- Minimal relations and catenary degrees in Krull monoids
- Arithmetic of seminormal weakly Krull monoids and domains
- Elastic properties and prime elements.
- On products of \(k\) atoms.
- Cohen-Kaplansky domains: Integral domains with a finite number of irreducible elements
- Power monoids: a bridge between factorization theory and arithmetic combinatorics
- Structural properties of subadditive families with applications to factorization theory
- On the set of elasticities in numerical monoids
- The realization problem for delta sets of numerical semigroups
- Sets of arithmetical invariants in transfer Krull monoids
- Sets of lengths in maximal orders in central simple algebras.
- Full elasticity in atomic monoids and integral domains.
- Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group
- The lattice of primary ideals of orders in quadratic number fields
- ON DELTA SETS OF NUMERICAL MONOIDS
- Seminormal rings generated by algebraic integers
- Arithmetic of commutative semigroups with a focus on semigroups of ideals and modules
- REALISABLE SETS OF CATENARY DEGREES OF NUMERICAL MONOIDS
- Arithmetical invariants of local quaternion orders
- Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids
- A PRECISE RESULT ON THE ARITHMETIC OF NON-PRINCIPAL ORDERS IN ALGEBRAIC NUMBER FIELDS
- Quadratic Irrationals
- The monotone catenary degree of monoids of ideals
- Ideals not prime to the conductor in quadratic orders
- Classical theory of algebraic numbers
This page was built for publication: On Monoids of Ideals of Orders in Quadratic Number Fields