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Commutativity and Ideals in Pre-crystalline Graded Rings

✍ Scribed by Johan Öinert; Sergei D. Silvestrov


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
436 KB
Volume
108
Category
Article
ISSN
0167-8019

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📜 SIMILAR VOLUMES


Arrays of prime ideals in commutative ri
✍ 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