flat modules造句

例句与造句

1. See flat module or, for more generality, flat morphism.
2. Vector spaces over a localization of a commutative ring are flat modules.
3. Flat modules over commutative rings are always torsion-free.
4. The product of the local rings of a commutative ring is a faithfully flat module.
5. Flat modules have increased importance in constructive mathematics, where projective modules are less useful.
6. It's difficult to find flat modules in a sentence. 用flat modules造句挺难的
7. He began his academic career by working in commutative algebra, especially on flat modules.
8. Submodules and factor modules of flat modules need not be flat in general ( e . g.
9. In contrast, no choice is needed to prove that free modules are flat, so theorems about flat modules can still apply.
10. If " M " is a flat module, the functor is exact by the very definition of a flat module.
11. If " M " is a flat module, the functor is exact by the very definition of a flat module.
12. Even weaker generalisations are flat modules, which still have the property that tensoring with them preserves exact sequences, and torsion-free modules.
13. Daniel Lazard proved in 1969 that a module " M " is flat if and only if it is a direct limit of finitely-presented flat module is projective.
14. However we have the following result : the homomorphic image of a flat module " M " is flat if and only if the kernel is a pure submodule of " M ".
15. This is equivalent to the definition for abelian groups ( considered as modules over the ring "'Z "'of integers ) because over "'Z "'flat modules are the same as torsion-free modules.
16. The Module pack consisted of a Flat Module, with 2 cones and 2 globes as well as a " closed module " which also had impressions of the cones and globes on it as a second platform for the objects to be moved to and from.
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