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Results tagged with ac.commutative-algebra
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user 22002
Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
10
votes
2
answers
1k
views
why are subextensions of Galois extensions also Galois?
Generally a Galois extension is defined to be an algebraic extension that is also normal & separable. It is then shown that in the sequence of field extensions $L|M|K$ if $L|K$ is Galois then $L|M$ is …
- 2,083
1
vote
0
answers
631
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when is a sum of idempotents idempotent in commutative ring theory?
As this question demonstrates that the sum of idempotents is idempotent iff every pairwise product is zero, for finite matrices with complex entries.
What additional restrictions do we need to put i …
- 2,083