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Electrical properties of A2.6+xTi1.4−xCd(PO4)3.4−x (A = Li, K; x = 0.0–1.0) phosphate glasses

✍ Scribed by C.R. Mariappan; G. Govindaraj

Book ID
116669530
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
483 KB
Volume
352
Category
Article
ISSN
0022-3093

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Triangular Derivations of k[X1, X2,
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✍ 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.