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Questions Tagged with "commutative algebra"

Explore solved questions tagged with "commutative algebra" or help others by answering their unsolved questions related to "commutative algebra".

Is a field extension of the form $mathbb C[X, Y]/mathfrak m$ isomorphic to $mathbb C(k)$ for some algebraic $k$?

0 answer

Mathematics Asked 2 years ago

If $F, K$ are fields, $F$ algebraically closed, and $F subseteq K$ then $K = F$?

1 answer

Mathematics Asked 2 years ago

Must a local homomorphism from a Noetherian local ring to an artinian local ring factor through a power of its maximal ideal

1 answer

Mathematics Asked 2 years ago

Proving a duality between Ext and Tor for maximal Cohen-Macaulay modules over Gorenstein ring

1 answer

Mathematics Asked 2 years ago by user521337

Determinantal/Fitting ideal of the direct sum of linear maps

0 answer

Mathematics Asked 2 years ago

Question concerning prime ideals of $mathbb{C}[x,y]$

2 answer

Mathematics Asked 2 years ago

Every prime power ideal in a Noetherian Ring of dimension one can be written uniquely as a power of a prime.

1 answer

Mathematics Asked 2 years ago by BehavingEarth

Complete DVR containing a field isomorphic to residue field

2 answer

Mathematics Asked 2 years ago by uno

Every $2$-dimensional commutative $k$-algebra with only one prime ideal is isomorphic to $k[x]/(x^2)$

2 answer

Mathematics Asked 2 years ago by LeviathanTheEsper

Prove that $mathrm{ht}(P/Ra)=mathrm{ht}(P) -1$

1 answer

Mathematics Asked 2 years ago

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