Prime Ideals in Serial Rings

Gennadi Puninski
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Gennadi Puninski: Moscow State Social University, Department of Mathematics

Chapter Chapter 3 in Serial Rings, 2001, pp 34-40 from Springer

Abstract: Abstract Lemma 3.1 [86, L. 3.1, 3.3] Let P, Q be prime ideals of a serial ring R. If e i ∉ P, Q for an idempotent e i , then P and Q are comparable by inclusion. If P and Q are incomparable then they are comaximal, i.e., P + Q = R.

Date: 2001
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DOI: 10.1007/978-94-010-0652-1_3

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