Karoubi's conjecture for finite fields
نویسندگان
چکیده
منابع مشابه
Proof of Tate’s conjecture over finite fields
We start by showing that (1) is injective. Take an u ∈ Hom (A,B)⊗ Zl that maps to zero in HomΓ (Tl(A), Tl(B)). Write u = ∑∞ j=0 l uj , uj ∈ Hom(A,B), and [u]n for ∑n j=0 l uj . Note that since Hom (A,B) is a Z-module [u]n is in Hom (A,B). Now (since u maps to zero) [u]n is the zero morphism A[l ] → B[l], so it kills the ltorsion. As it is well known, this implies the existence of a certain ψn ∈...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1977
ISSN: 0022-4049
DOI: 10.1016/0022-4049(77)90002-0