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The Algebra of Differentials of Infinite Rank
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1973
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