整环Z[(-5)～(1/2)]中的不可约元

Irreducible Elements of Integral Ring Z[(-5)～(1/2)]

利用近世代数及数论的一些基本知识与重要结论,讨论了整环Z[(-5)～(1/2)]中的可约元及不可约元,列出了一些判别准则,简化了对整环Z[(-5)～(1/2)]中某些特定元素的可约性的判断,并举例进行了说明.

The basic knowledge and important results of abstract algebra and number theory are used to discuss the irreducible and reducible elements of integral ring L[√-5],some criteria for elements to be irreducible or reducibleare listed, and some examples are provided for explanation.