| NOETHERIAN GT-REGULAR RINGS ARE REGULAR |
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| 作者姓名： | LI HUISHI |
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| 作者单位： | Department of Mathematics，Shaanxi Normal Univisity Xi'an 710062，China. |
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| 摘 要： | ＮＯＥＴＨＥＲＩＡＮＧＴ－ＲＥＧＵＬＡＲＲＩＮＧＳＡＲＥＲＥＧＵＬＡＲ￥ＬＩＨＵＩＳＨＩ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａａｎｘｉＮｏｒｍａｌＵｎｉｖｉｓｉｔｙＸｉ＇ａｎ７１００６２，Ｃｈｉｎａ．）Ａｂｓｔｒａｃｔ：Ｉｔｉｓｐｒ...
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NOETHERIAN GT-REGULAR RINGS ARE REGULAR |
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| LI HUISHI.NOETHERIAN GT-REGULAR RINGS ARE REGULAR[J].Chinese Annals of Mathematics,Series B,1994(4). |
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| Authors: | LI HUISHI |
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| Abstract: | It is proved that for a left Nootherian z-graded ring A, if every finitely generated gradedA-module has finite projective dimension (i.e., A is gr-regular) then every finitely generatedA-module has finite projective dimension (i.e., A is regular). Some applications of this resultto filtered rings and some classical cases are also given. |
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| Keywords: | Graded ring Regular ring Projective dimension |
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