A characterization of seminormal C-monoids

DOI10.1007/s40574-019-00194-9zbMath1458.13004arXiv1809.00570OpenAlexW2963805867WikidataQ90671978 ScholiaQ90671978MaRDI QIDQ2011332

Qinghai Zhong, Alfred Geroldinger

Publication date: 6 December 2019

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00570

zbMATH Keywords

Krull monoidshalf-factorialseminormalC-monoidsclass semigroups

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Seminormal rings (13F45) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) Divisibility and factorizations in commutative rings (13A05) Arithmetic theory of semigroups (20M13)

Related Items (4)

Length-factoriality in commutative monoids and integral domains ⋮ On monoids of weighted zero-sum sequences and applications to norm monoids in Galois number fields and binary quadratic forms ⋮ Unnamed Item ⋮ On the class semigroup of root-closed weakly Krull Mori monoids

Cites Work

• The set of distances in seminormal weakly Krull monoids
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• Factorization of powers in \(C\)-monoids.
• Half-factorial subrings of factorial domains
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• The Interplay of Invariant Theory with Multiplicative Ideal Theory and with Arithmetic Combinatorics
• Arithmetic of Mori Domains and Monoids: The Global Case
• Some Recent Results and Open Problems on Sets of Lengths of Krull Monoids with Finite Class Group
• Clifford semigroups of ideals in monoids and domains
• Seminormal rings generated by algebraic integers
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