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Now, let f : X → Y be right minimal and right C -determined.
There is the following formula: Let f : X → Y be right minimal and right C -determined.
Let us consider a composition f = f ′ h, where f ′ both are right minimal and right C -determined.
It can happen that h is also right minimal and right C -determined, but f = f ′ h is not right C -determined.
If f : X → Y is right minimal and right C -determined, then f is surjective and Open image in new window.
Such an embedding f : M → Q is right minimal and right Λ -determined, thus M is present in Λ [ → Q 〉. □. Let M be a set of modules.
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Monomorphisms X → Y are always right minimal, and the right equivalence classes of monomorphisms ending in Y may be identified with the submodules of Y (here, we identify the right equivalence class of the monomorphism f : X → Y with the image of X ).
A nice, straightforward back-and-forth putting system – no club changes, minimal left-and-right positioning, just taaap it in.
Thus 9.1 asserts that f ′ is right minimal (and of course also right C -determined).
All three maps f ′, h, f are surjective and right minimal.
The subspaces H a, 0 : = H ¯ a, 00 and H b, 0 : = H ¯ b, 00 are called the left and right minimal subspaces corresponding to τ, respectively.
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