flat cover中文什么意思

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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，并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(huán)上每個(gè)模的極小平坦分解式的合沖模從第n個(gè)起都是有限生成的上約化的gorenstein平坦模，最后證明了在這類環(huán)上，商范疇dlaa中每個(gè)有限生y成模都有有限生成的上約化的gorenstein平坦包，并且這種蓋在同構(gòu)意義下是唯一的

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