| Naslov: | Primes and absolutely or non-absolutely irreducible elements in atomic domains |
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| Avtorji: | ID Fadinger, Victor (Avtor)
ID Frisch, Sophie (Avtor)
ID Nakato, Sarah (Avtor)
ID Smertnig, Daniel (Avtor)
ID Windisch, Daniel (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (1,71 MB)
MD5: FDE03EAEA7B5AE7CD577F915C75FE5E7
 URL - Izvorni URL, za dostop obiščite https://www.tandfonline.com/doi/full/10.1080/00927872.2025.2586234
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | We give examples of atomic integral domains satisfying each of the eight logically possible combinations of existence or nonexistence of the following kinds of elements: (1) primes, (2) absolutely irreducible elements that are not prime, and (3) irreducible elements that are not absolutely irreducible. A nonzero non-unit is called absolutely irreducible (or, a strong atom) if every one of its powers factors uniquely into irreducibles. |
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| Ključne besede: | absolutely irreducible elements, non-absolutely irreducible elements, non-unique factorization, integer-valued polynomials, irreducible elements, transfer homomorphisms, zero-sum sequences |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.01.2026 |
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| Leto izida: | 2026 |
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| Št. strani: | str. 2631-2648 |
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| Številčenje: | Vol. 54, no. 6 |
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| PID: | 20.500.12556/DiRROS-29422  |
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| UDK: | 512:511 |
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| ISSN pri članku: | 0092-7872 |
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| DOI: | 10.1080/00927872.2025.2586234 |
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| COBISS.SI-ID: | 278487043 |
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| Opomba: |
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| Datum objave v DiRROS: | 18.05.2026 |
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| Število ogledov: | 25 |
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| Število prenosov: | 20 |
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| Metapodatki: |    |
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