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.
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© 2001 Springer Science+Business Media Dordrecht
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Puninski, G. (2001). Prime Ideals in Serial Rings. In: Serial Rings. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0652-1_3
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DOI: https://doi.org/10.1007/978-94-010-0652-1_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-3862-1
Online ISBN: 978-94-010-0652-1
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