Flat module

In homological algebra and algebraic geometry, a flat module over a ring R is an R-module M such that taking the tensor product over R with M preserves exact sequences. A module is faithfully flat if taking the tensor product with a sequence produces an exact sequence if and only if the original sequence is exact.

单词	Flat extension
释义	Flat extension 原声例句 PBS地球-动物趣闻 Many species of aquatic insects have flat extensions on the thorax and abdomen, when they're in their nymph phase. 当许多水生昆虫处于若虫阶段时，它们的胸部和腹部有扁平的延伸部分。英语百科 Flat module In homological algebra and algebraic geometry, a flat module over a ring R is an R-module M such that taking the tensor product over R with M preserves exact sequences. A module is faithfully flat if taking the tensor product with a sequence produces an exact sequence if and only if the original sequence is exact.
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Flat extension

Flat module