Differential calculus over commutative algebras
id:
differential-calculus-over-commutative-algebras-285-16800380
title:
Differential calculus over commutative algebras
text:
In mathematics the differential calculus over commutative algebras is a part of commutative algebra based on the observation that most concepts known from classical differential calculus can be formulated in purely algebraic terms. Instances of this are: The whole topological information of a smooth manifold M is encoded in the algebraic properties of its R -algebra of smooth functions A = C ∞ , as in the Banach–Stone theorem.
Vector bundles over M correspond to projective finitely generated mod
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https://en.wikipedia.org/wiki/Differential_calculus_over_commutative_algebras
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date modified:
2023-08-19T15:46:33Z
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13
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