文章基本信息
- 标题：The GCD property and irreduciable quadratic polynomials
- 本地全文：下载
- 作者：Saroj Malik ; Joe L. Mott ; Muhammad Zafrullah 等
- 期刊名称：International Journal of Mathematics and Mathematical Sciences
- 印刷版ISSN：0161-1712
- 电子版ISSN：1687-0425
- 出版年度：1986
- 卷号：9
- 期号：4
- 页码：749-752
- DOI：10.1155/S0161171286000893
- 出版社：Hindawi Publishing Corporation
- 摘要：
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.
