projective modules造句

例句与造句

1. Projective modules ( and thus free modules ) are always flat.
2. Generally, the structure of projective modules is difficult to determine.
3. An example is the category of projective modules over a commutative ring.
4. Let f : A-> B be a map between projective modules.
5. They are also characterized as rings whose flat left modules are all projective modules.
6. It's difficult to find projective modules in a sentence. 用projective modules造句挺难的
7. By semihereditary : every finitely generated submodule of a projective module is itself projective.
8. Flat modules have increased importance in constructive mathematics, where projective modules are less useful.
9. Pure injective and pure projective modules follow closely from the ideas of Pr黤er's 1923 paper.
10. In his paper FAC, Serre asked whether a finitely generated projective module over a polynomial ring is free.
11. In that case, there are finite-dimensional modules for the group algebra that are not projective modules.
12. An important module theoretic property of quasi-Frobenius rings is that the projective modules are exactly the injective modules.
13. However, as noted above, finitely generated nonzero modules have maximal submodules, and also projective modules have maximal submodules.
14. Geometrically, finitely generated projective modules correspond to vector bundles over affine space, and free modules to trivial vector bundles.
15. In the case of the integers and Abelian groups a pure projective module amounts to a direct sum of cyclic groups.
16. The Eilenberg swindle ( or " telescope " ) is a construction applying the telescoping cancellation idea to projective modules.
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