Commutative rings with finite quotient fields

Details Commutative rings with finite quotient fields Commutative rings with finite quotient fields

2009-03-14

arxiv.org/abs/0903.2566v1

Commun. Algebra 33, No. 3, 727-736 (2005)

Mathematics

Commutative Algebra

Scientific paper

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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