例句與造句

1. A morphism with a right inverse is called a split epimorphism.
2. There are many right inverses to string projection, and thus it is a split epimorphism.
3. A "'split epimorphism "'is an homomorphism that has a left inverse.
4. For sets and vector spaces, every epimorphism is a split epimorphism, but this property is wrong for most common algebraic structures.
5. Other examples come from the fact that finite Hopf-Galois extensions are depth two in a strong sense ( the split epimorphism in the definition may be replaced by a bimodule isomorphism ).
6. It's difficult to find split epimorphism in a sentence. 用split epimorphism造句挺難的
7. That is, an homomorphisms f \ colon A \ to B is a split epimorphism if there exists an homomorphism g \ colon B \ to A such that f \ circ g = \ operatorname { Id } _ B . A split epimorphism is always an epimorphism, for both meanings of " epimorphism ".
8. That is, an homomorphisms f \ colon A \ to B is a split epimorphism if there exists an homomorphism g \ colon B \ to A such that f \ circ g = \ operatorname { Id } _ B . A split epimorphism is always an epimorphism, for both meanings of " epimorphism ".
9. A unital subring B \ subseteq A has ( or is ) "'right depth two "'if there is a split epimorphism of natural A-B-bimodules from A ^ n \ rightarrow A \ otimes _ B A for some positive integer n; by switching to natural B-A-bimodules, there is a corresponding definition of "'left depth two " '.
10. Here we use the usual notation A ^ n = A \ times \ ldots \ times A ( n times ) as well as the common notion, p is a split epimorphism if there is a homomorphism q in the reverse direction such that pq = identity on the image of p . ( Sometimes the subring B in A is referred to as the ring extension A over B; the theory works as well for a ring homomorphism B into A, which induces right and left B-modules structures on A . ) Equivalently, the condition for left or right depth two may be given in terms of a split monomorphism of bimodules where the domains and codomains above are reversed.