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2 results on '"Absolutely irreducible"'

1. Strong atoms in monadically Krull monoids.

Author

Angermüller, Gerhard

Subjects
*ATOMS, *MONOIDS, *POLYNOMIAL rings
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2022
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2. Strong atoms in Krull monoids.

Author

Angermüller, Gerhard

Subjects
*ATOMS, *MONOIDS
Abstract

It is shown that strong atoms are rather abundant in Krull monoids. For the proof extraction methods are used. An application of this result yields a positive answer to a question of D. D. Anderson, D. F. Anderson and J. Park about Dedekind domains. [ABSTRACT FROM AUTHOR]

Published
2020
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