李華介Hua-Chieh Li陳依鴻Yi-Hong Chen2019-09-052008-6-302019-09-052008http://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22GN0694400060%22.&%22.id.&http://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101740給定了質數P和正整數n,這篇文章將探討有理數體Q的degree-n循環擴張且滿足P這個質理想是inert,這樣的擴張是否存在,當n是8的倍數時,我們將證明Q沒有degree-n的循環擴張滿足2這個質理想是inert.Given a prime number p and an arbitrary nature number n, we discuss how to construct a degree-n cyclic extension E/Q such that pZ is inert. When 8 divides n, we prove that there is no degree-n cyclic extension E over Q such that 2Z is inert in E.循環質理想cyclic extensioninertcylic division algebraSTBCspace time block codecyclotomic