finitely generated 中文意思是什麼
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At fist we can conclude that kernels of the flat cover of a finitely gener - ated coreduced gorenstein flat module is also a finitely generated coreduced gorenstein flat module. moreover, the flat cover of the former ( the first gorenstein flat module ) is the flat envelope of the latter
首先我們由它的平坦蓋就可得到核也是有限生成的上約化gon stein平坦模，並且它的平坦蓋正好是核的平坦包；類似地，它的平坦包的上核也是有限生成的上約化的gorenstein平坦模，且它的平坦包是其上核的平坦蓋 -
Similarly, cokernels of the flat envelope of a finitely gener - ated coreduced gorenstein flat module is also a finitely generated coreduced gorenstein flat module, moreover the flat envelope of the former is the flat cover of the latter. and then we prove that over these rings, in quotient categories mod every finitely generated module has a finitely generated coreduced gorenstein flat preenvelope, and its two such preenvelopes are isomorphic
接著證明了這類環上每個模的極小平坦分解式的合沖模從第n個起都是有限生成的上約化的gorenstein平坦模，最後證明了在這類環上，商范疇dlaa中每個有限生y成模都有有限生成的上約化的gorenstein平坦包，並且這種蓋在同構意義下是唯一的 -
A criterion theorem of having no finite coverings for a finitely generated module m over a semisimple ring r is given
對半單環上有限生成左模給出一個無有限覆蓋的判定定理。 -
Theorem 4. 2 finite c * ( pq ) - group g is soluble. theorem 4. 4 if g is finitely generated and c * ( n ) - group, then g is polycyclic group
4若有限生成的可解群g是c 」 （ ）群，則g是多重循環群 -
In the last section the author define and study finitely generated coreduced left goren - stein flat modules on n - gorenstein and left perfect rings
第四部分我們研究了n - gorenstein 、左完全環上有限生成的上約化的gorenstein平坦左r -模。 -
11 aubry p, lazard d, maza m m. on the theory of triangular sets. journal of symbolic computation, 1999, : 105 - 124. 12 bouziane d, rody a kandri, mahat arouf h. unmixed - dimensional decomposition of a finitely generated perfect differential ideal
這一方法在圖像壓縮計算機視覺計算機圖形學智能cad sat問題求解一階邏輯推理信息安全編碼數控技術機器人等高技術領域與物理力學化學天文學中若干問題的研究中得到成功應用。 -
Group - graded rings of half - simple modules with finitely generated modules
有限生成半單分次模情形的群分次環 -
Generalizations of finitely generated submodules
模的推廣 -
We get some useful characters of right a - module, and find an index set ( q ), q = 1 - 1a, is a system of finitely generated projec - tive generators of gr - ( a, ) for some - graded rings. results, we give the definition of semigroup gr - faithfully balanced
第二部分，對於半群我們給出如下定義：得到了半群分次右模上的一些性質，找到了半群分次右模的有限生成投射生成子，其中，並定義了半群分次?忠實?平衡模。
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