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The Algebra of Differentials of Infinite Rank

Published online by Cambridge University Press:  20 November 2018

W. C. Brown
W. C. Brown*
Affiliation:
Michigan State University, East Lansing, Michigan
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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.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 1 , February 1973 , pp. 141 - 155
Copyright
Copyright © Canadian Mathematical Society 1973

References

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