Sentence examples for all right c from inspiring English sources

Since the injective dimension of K is at most 1, it follows from the proposition that all right C -determined maps are epimorphisms.

Also, for any module C, the subset C [ → Y 〉 epi of C [ → Y 〉 consisting of the right equivalence classes of all right C -determined epimorphisms ending in Y is a coideal which is closed under meets. Since C [ → Y 〉 is a lattice of finite height, we see that C [ → Y 〉 epi has a unique minimal element, say [ f 0 〉 and our first aim will be to describe η C Y ( f 0 ).

Since C is projective, all the right minimal, right C -determined maps are inclusion maps: Open image in new window.

The quiver Grassmannians G e ′ ( Hom ( C, Y ) ) corresponds under the Auslander bijection η C Y to the set C [ → Y 〉 e of all right equivalence classes of right C -determined maps which end in Y and have type e. We call C [ → Y 〉 e an Auslander variety.

Data are depicted for all instances when a wayfinder continued straight (a), turned left (b), and turned right (c).

Any right C -factorization ( h 1, ⋯, h t ) has a refinement which is a maximal right C -factorization and all maximal right C -factorizations of ( h 1, ⋯, h t ) have the same length.

(b) If f is right C -determined, then f is also right ( C ⊕ C ′ ) -determined.  .

Then both f and f ′ are right C -determined, whereas h is not right C -determined.

Assume that f : X → Y is right C -determined.

Let f : X → Y ′ be right C -determined.

For an arbitrary projective module C, there is the following description of the right C -length of a right minimal, right C -determined morphism f.