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极小内射分解最后项的基座

Published in Science in China Series A-Mathematics (in Chinese) • Dec 1, 2009
NobleIDNI2P48W97R79S07
Authors:
兆泳 黄
,
尧 王

Abstract

设$\Lambda$和$\Gamma$均是左、右Noether环, $_{\Lambda}U$是一个广义倾斜模且$\Gamma =\End (_{\Lambda}U)$. 对非负整数$k$, 如果$_{\Lambda}U$是$(k-2)$-Gorenstein的且$_{\Lambda}U$和 $U_{\Gamma}$的内射维数均是$k$, 则$_{\Lambda}U$的极小内射分解最后项的基座是非零的.

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