Commutative rings with finite quotient fields

Antonio Avilés

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arXiv · 0903.2566

Commutative rings with finite quotient fields

Antonio Avilés

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Abstract

We consider the class of all commutative reduced rings for which there exists a finite subset T 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 on the quotients of a ring over its prime ideals.

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Antonio Avilés. 2009-03-14. Commutative rings with finite quotient fields. https://arxiv.org/abs/0903.2566

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