The GCD property and irreduciable quadratic polynomials
The proof of the following theorem is presented: If D is, respectively, a Krull domain, a Dedekind domain, or a Prüfer domain, then D is correspondingly a UFD, a PID, or a Bezout domain if and only if every irreducible quadratic polynomial in D[X] is a prime element.
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| Hauptverfasser: | , , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Wiley
1986-01-01
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| Schriftenreihe: | International Journal of Mathematics and Mathematical Sciences |
| Schlagworte: | |
| Online-Zugang: | http://dx.doi.org/10.1155/S0161171286000893 |
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