We consider the class of all commutative reduced rings for which there exists a finite subset T subset of A such that all projections on quotients by prime ideals of A are surjective when restricted to T. A complete structure theorem is given for this class of rings, and it is studied its relation with other finiteness conditions an the quotients of a ring over its prime ideals.
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机译:我们考虑所有交换约简环的类,其中存在一个 A 的有限子集 T 子集,使得 A 的素理想对商的所有投影在限制为 T 时都是投射的。给出了这类环的完整结构定理,并研究了它与其他有限性条件的关系,以及环在其素理想上的商。
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