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Crystallization study of the (1 − x)Sb2O3–(x)SbPO4 glass system

✍ Scribed by M. Nalin; M. Poulain; S.J.L. Ribeiro; Y. Messaddeq


Book ID
113782790
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
785 KB
Volume
112
Category
Article
ISSN
0254-0584

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Triangular Derivations of k[X1, X2,
✍ Daniel Daigle; Gene Freudenburg 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 115 KB

It is shown that if k is a field of characteristic zero, then the kernel of any w x triangular k-derivation of k X , X , X , X is finitely generated as a k-algebra. This is obtained as a corollary of a more general result concerning triangular w x R-derivations of R X, Y, Z for certain rings R.