试明定理[tex=1.571x1.0]NRAZSenLCh2cmqvlDAuLxg==[/tex]注 定理[tex=1.286x1.0]kKCBHQIleWbqLYAAphuK9A==[/tex]如下:设[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]是一个环, [tex=0.5x1.0]3EF1VcotinZAjtQqtSWaxw==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]的理想.(1)若[tex=0.571x1.0]EnSTrJsHc9I00M+IaN7q+w==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]的理想, 则[tex=8.857x1.571]q5W7VvnThRiSAS3Jbiihlk4nznYZovknm27R+wDzbUgy/KB6cLlcqo+RB7WV6+Pt[/tex](2)若[tex=0.571x1.0]EnSTrJsHc9I00M+IaN7q+w==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex] 的理想,且 [tex=2.357x1.143]hmtyi/PG7j28PFV8+4H81GFH4NHJ9jPZRtfqR3pyO4Q=[/tex], 则 [tex=8.929x1.357]KPfO9KqaoHTPeQJw4n6XBnR8/jev71ZZLhkMVIqcifOI40+aHe2jmxFdBV/vadrB[/tex]
试明定理[tex=1.571x1.0]NRAZSenLCh2cmqvlDAuLxg==[/tex]注 定理[tex=1.286x1.0]kKCBHQIleWbqLYAAphuK9A==[/tex]如下:设[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]是一个环, [tex=0.5x1.0]3EF1VcotinZAjtQqtSWaxw==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]的理想.(1)若[tex=0.571x1.0]EnSTrJsHc9I00M+IaN7q+w==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex]的理想, 则[tex=8.857x1.571]q5W7VvnThRiSAS3Jbiihlk4nznYZovknm27R+wDzbUgy/KB6cLlcqo+RB7WV6+Pt[/tex](2)若[tex=0.571x1.0]EnSTrJsHc9I00M+IaN7q+w==[/tex]是[tex=0.786x1.0]AOSTmhvIsOwsdZlGoks7dg==[/tex] 的理想,且 [tex=2.357x1.143]hmtyi/PG7j28PFV8+4H81GFH4NHJ9jPZRtfqR3pyO4Q=[/tex], 则 [tex=8.929x1.357]KPfO9KqaoHTPeQJw4n6XBnR8/jev71ZZLhkMVIqcifOI40+aHe2jmxFdBV/vadrB[/tex]
1