The GCD property and irreduciable quadratic polynomials

Saroj Malik, Joe L. Mott and Muhammad Zafrullah

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-4

Abstract:

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.

Date: 1986
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DOI: 10.1155/S0161171286000893

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