module over a ring造句

例句与造句

1. One can define kernels for homomorphisms between modules over a ring in an analogous manner.
2. Once that is done, the theorem is proven for abelian groups or modules over a ring.
3. Tensor products can be defined in great generality  for example, involving arbitrary modules over a ring.
4. A quasi-coherent sheaf is roughly one that looks locally like the sheaf of a module over a ring.
5. For rings that are not principal ideal domains, unique decomposition need not even hold for modules over a ring generated by two elements.
6. It's difficult to find module over a ring in a sentence. 用module over a ring造句挺难的
7. This approach is surprisingly fruitful : many results in representation theory can be interpreted as special cases of results about modules over a ring.
8. For example, the subspaces of a vector space ( and more generally the submodules of a module over a ring ) form a modular lattice.
9. Grothendieck abelian categories include the category of modules over a ring, the category of sheaves of abelian groups on a topological space, and many other examples.
10. The concept of the Jacobson radical of a ring; that is, the intersection of all right / left simple right / left modules over a ring, is one example.
11. The  "-category of ( say right ) module spectra is stable; hence, it can be considered as either analog or generalization of the derived category of modules over a ring.
12. :I'm not sure what the full result is, but I'll say that all tensor products of all modules over a ring with zero divisors will have lots of such pairs.
13. In the category of projective modules over a ring, every short exact sequence splits, and so & Gamma;-objects could be used to define the " K "-theory of a ring.
14. However, there are non-split short exact sequences in the category of vector bundles on a variety and in the category of all modules over a ring, so Segal's approach did not apply to all cases of interest.
15. If "'C "'is Grothendieck's axiom AB5 and has enough injectives, then every object in "'C "'has an injective hull ( these three conditions are satisfied by the category of modules over a ring ).
16. His research in functional analysis introduced new concepts, such as " F "-ordered rings ( now known as Ghika rings ), which have the property that in any module over a ring in this class, the analogue of the Hahn Banach theorem holds.
更多例句：  下一页