Model
Digital Document
Publisher
Florida Atlantic University
Description
In this thesis we present a detailed study of the
foundations of the general theory of derivations and
differentials for commutative algebras over commutative
rings.
We give a direct and natural proof of the existence
of the module of differentials, and then discuss some of
its basic properties. A considerable part of the work
is devoted to the establishing of the two fundamental
exact sequences.
foundations of the general theory of derivations and
differentials for commutative algebras over commutative
rings.
We give a direct and natural proof of the existence
of the module of differentials, and then discuss some of
its basic properties. A considerable part of the work
is devoted to the establishing of the two fundamental
exact sequences.
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