Strong atoms in monadically Krull monoids

Strong atoms in monadically Krull monoids

It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.

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Veröffentlicht in:Semigroup forum 2022-02, Vol.104 (1), p.10-17
1. Verfasser: Angermüller, Gerhard
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematics
Mathematics and Statistics
Monoids
Polynomials
Research Article
Rings (mathematics)
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Beschreibung
Zusammenfassung:It is shown that strong atoms are rather abundant in monadically Krull monoids. An application to rings of integer-valued polynomials on Krull domains yields new results on strong atoms in these rings.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-021-10231-9