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Disordered Distribution of K + Ions Interlayered in K x Ti 2−x/3 Li x/3 O 4 (x = 0.8)

✍ Scribed by Izumi, Fujio; Ikeda, Takuji; Sasaki, Takayoshi; Kumazawa, Shintaro

Book ID
126528251
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
294 KB
Volume
341
Category
Article
ISSN
1058-725X

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Triangular Derivations of k[X1, X2,
Triangular Derivations of k[X1, X2, X3, X4]
✍ 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.