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Commutative rings whose prime ideals are radically perfect

✍ Scribed by Erdoğdu, V.; Harman, S.

Book ID
125480012
Publisher
Rocky Mountain Mathematics Consortium
Year
2013
Tongue
English
Weight
171 KB
Volume
5
Category
Article
ISSN
1939-2346

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✍ George M. Bergman 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 198 KB

If R is a commutative ring, A and B ideals of R, and S and T multiplicative submonoids of R, we note an elementary necessary and sufficient condition for there to exist prime ideals P and Q in R such that P contains A and is disjoint from S, Q contains B and is disjoint from T , and P ⊆ Q. We then s