finitely generated flat module 中文意思是什麼

finitely generated flat module 解釋
平坦有限生成模
  • generated : 產生的
  • flat : n 1 〈英罕〉地板；（房屋的）一層。2 一套房間；〈pl 〉分宅公寓〈美國高級公寓叫 apartment house〉。...
  • module : n. 1. 測量流水等的單位〈1秒100升〉。2. 【建築】圓柱下部半徑度。3. 【物理學】模，系數，模數，模量。4. 【無線電】微型組件；組件；模塊。5. （太空船上各個獨立的）艙。
  1. 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
  2. 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
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