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flat cover中文是什么意思

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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
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Last modified time:Mon, 18 Aug 2025 00:29:56 GMT

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