Inside factorial monoids and integral domains

DOI10.1016/S0021-8693(02)00031-5zbMath1087.13510OpenAlexW1990048134MaRDI QIDQ1849108

Franz Halter-Koch, Ulrich Krause, Scott Thomas Chapman

Publication date: 28 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(02)00031-5

zbMATH Keywords

class groupsintegral domainsmonoidsorders in algebraic number fieldsinside factorial domainoutside factorialityrational generalized Krull monoid

Mathematics Subject Classification ID

Commutative semigroups (20M14) Integral domains (13G05) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Class groups and Picard groups of orders (11R65) Divisibility and factorizations in commutative rings (13A05) Other algebras and orders, and their zeta and (L)-functions (11R54)

Related Items

Almost-Schreier Domains, On transfer Krull monoids, Inside factorial monoids and the Cale monoid of a linear Diophantine equation, Factorization in monoids by stratification of atoms and the Elliott problem, On Some Arithmetical Properties of Noetherian Domains, Cale bases in algebraic orders, Pseudo-almost valuation domains are quasilocal going-down domains, but not conversely, Arithmetic of Mori domains and monoids, Almost Schreier monoids., Diversity in inside factorial monoids, A characterization of weakly Krull monoid algebras, HIGHER-ORDER CLASS GROUPS AND BLOCK MONOIDS OF KRULL MONOIDS WITH TORSION CLASS GROUP, Strong atoms in monadically Krull monoids, A semigroup-theoretical view of direct-sum decompositions and associated combinatorial problems, Strong atoms in Krull monoids, Some Results on Factorization in Integral Domains

Cites Work

• On the number and ideal theory of one-dimensional noetherian integral domains.
• On the asymptotic behaviour of lengths of factorizations
• Arithmetical theory of monoid homomorphisms
• A divisor theoretic approach towards the arithmetic of Noetherian domains
• Elasticity of factorizations in atomic monoids and integral domains
• On Monoids of Finite Real Character
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