Geodesic
The Algebra of Differentials of Infinite Rank
Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 141-155

Voir la notice de l'article provenant de la source Cambridge University Press

Let k and A denote commutative rings with identity and assume that A is a k-algebra. A qth order k-derivation δ of A into an A -module V is an element of Homk (A, V) such that for any q + 1 elements a0, ... , aq of A, the following identity holds: Thus, a 1st-order derivation is just an ordinary derivation of A into V. 
Brown, W. C. The Algebra of Differentials of Infinite Rank. Canadian journal of mathematics, Tome 25 (1973) no. 1, pp. 141-155. doi: 10.4153/CJM-1973-013-4
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[1] 1. Brown, W. and Kuan, W. E., Ideals and higher derivations in commutative rings, Can. J. Math. 34 (1972), 400–415. Google Scholar

[1] 1. Brown, W. and Kuan, W. E., Ideals and higher derivations in commutative rings (to appear). Google Scholar

[2] 2. Heerema, N., Convergent higher derivations on local rings, Trans. Amer. Math. Soc. 132 (1968), 31–44. Google Scholar

[3] 3. Heerema, N., Higher derivations and automorphisms of complete local rings, Bull. Amer. Math. Soc. 76 (1970), 1212–1225. Google Scholar

[4] 4. Kunz, E., Die Primidealteiler der Differenten in allgemeinenRingen, J. ReineAngew. Math. 204 (1960), 166–182. Google Scholar

[5] 5. Nakai, Y., On the theory of differentials in commutative rings, J. Math. Soc. Japan 13 (1961), 63–84. Google Scholar

[6] 6. Nakai, Y., Higher order derivations, Osaka J. Math. 7 (1970), 1–27. Google Scholar

[7] 7. Osborn, H., Modules of differentials. I, II, Math. Ann. 170 (1967), 221-244; 175 (1968), 146–158. Google Scholar

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