This theorem was generalized to nonzero finitely presented Noetherian modules M over a coherent local ring R with finitely generated maximal ideal J and finite weak global dimension().
文献[2]证明上述公式对极大理想为有限生成的凝聚环上的有限表现的非零Noether模依然成立。
Using U-dual modules obtain an exact sequence of ExtnR(M,U),and show that for a right coherent ring R,or a coherent left perfect ring R,the flat dimensions,projective dimensions and finitely presented dimensions of ExtmR(M,U)(m≥0) are less than the corresponding dimensions of M.
设SUR为双模,给出了投射模的U-偶模为平坦模,投射模等特殊模的若干刻画,并利用U-偶模得到了关于Ex tnR(M,U)的正合列,从而证明了在右凝聚环、凝聚左完全环下,Ex tmR(M,U)(m≥0)的平坦维数、投射维数、有限表现维数等均不超过M的相应维数。
Crowds of attractions along the riverBanks and the Beautiful legends aBout them captivate tourists.
沿岸名胜古迹众多，传说优美，富有魅力。
The cyclic model of the universe is clearly attractive.
宇宙的循环模式显然富有魅力。
Her colorful character makes her very charming.
她生动活泼的性格使她非常富有魅力。
The fantastic and charming Inner Mongolia has a very long history.
神奇而富有魅力的内蒙古历史十分悠久。
To most people acting is glamorous, business isn't.It works the other way around for John.
在大多数人看来，演戏富有魅力，而做生意却没什么魅力；可对约翰来说则恰好相反。
a lively discussion; lively and attractive parents; a lively party.
活跃的讨论；精力充沛的、富有魅力的父母；气氛活跃的晚会。
What others say " He's very able and charming but he's tricky.
舆论“他是一个能力很强且富有魅力的人，但是，他很狡诈。
The long red carpet was laid out for this glamorous occasion.
为了这个富有魅力的时刻，地上铺了长长的红地毯。
Watching the sunrise from a mountain top has had a fascination for me since childhood.
登高山看日出，这是从幼小时起，就对我富有魅力的一件事。
Three attractive main characters for a thriller full of manipulation, lies and treachery.
三位富有魅力的主人公出现在这部充满操控、言和背叛的惊悚片中。
But it was his glamorous lifestyle that caught the eye of the Italian public.
但他真正吸引意大利公众眼光的还是他富有魅力的生活方式。
The contrast of the Black niello against the Bright surface produces an attractive decorative effect.
黑色镶嵌与明亮表面的反差产生富有魅力的装饰效果。
If you wanted to appear desirable, couldn't you juice your own score?
如果你想要表现得富有魅力，你能在自己的得分上加分吗？
They will be the most compelling and seductive element in the style.
它们是文风中最令人心悦诚服，最富有魅力的东西。
She's an attractive woman, and wealthy to boot.
她是个很有魅力的女人, 而且很富有.
He is a man of great personal magnetism.
他是一位富有个性魅力的男子。
A strong, virile man.
富有男性魅力的人强壮而有男子汉气概的男子
an actress of great glamour
富于性魅力的女演员