On flat H-separable extensions and Gabriel topology
نویسندگان
چکیده
منابع مشابه
On Separable Abelian Extensions of Rings
Let R be a ring with I, G (= (1>x...Xm) a finite abelian automorphism group of R of order n where (i2 is cyclic of order n. for some integers n, hi, and m, and C the center of R whose automorphism group induced by G is isomorphic with G. Then an abelian extension Rtx 1,...,xm is defined as a generalization of cyclic extensions of rings, and RXl,...,Xm is an Azumaya algebra over K (= CG {c in C ...
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This note arises from an attempt to give some model-theoretic interpretation of the concept of flatness. It is well-known that a necessary condition for a ring morphism A → B to be faithfully flat, is that any linear system of equations with coefficients from A which has a solution over B, must have already a solution over A. In fact, if we strenghten this condition to any solution over B comes...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1986
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381518216