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Results tagged with ac.commutative-algebra
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user 25209
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
7
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answers
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Completion and Tensor Product of Algebras
Let $A$ be a commutative ring with 1, $I$ an ideal in $A$, $B$ an $A$-algebra. I am trying to prove the following isomorphism of $A$-algebras:
$$ \big( A^* \otimes _A B \big) ^* \cong B^* $$
"$^*$" de …
- 153
3
votes
Completion and Tensor Product of Algebras
Thank you for your answer, Konstantin!
In fact, since asking the question, my advisor, Prof. Dan Haran, has found a proof which does not use any Noetherity conditions:
For any $A$-algebra $C$, we de …
- 153