flat cover meaning in English
平盖
Examples
- 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
首先我们由它的平坦盖就可得到核也是有限生成的上约化gon stein平坦模，并且它的平坦盖正好是核的平坦包；类似地，它的平坦包的上核也是有限生成的上约化的gorenstein平坦模，且它的平坦包是其上核的平坦盖 - 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
接着证明了这类环上每个模的极小平坦分解式的合冲模从第n个起都是有限生成的上约化的gorenstein平坦模，最后证明了在这类环上，商范畴dlaa中每个有限生y成模都有有限生成的上约化的gorenstein平坦包，并且这种盖在同构意义下是唯一的