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Examples of real places of a field K

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#abstract-algebra #reference-request #commutative-algebra #field-theory #algebraic-number-theory
36
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$\mathcal{O}_S$ holomorphy ring, $S$ containing almost all places $\Rightarrow O_S=K[x_1,...,x_r]$

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#commutative-algebra #arithmetic-geometry #function-fields
96
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$L\otimes_K L$ reduced and $\text{ker}(L\otimes_K L\to L)$

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#algebraic-geometry #commutative-algebra #field-theory
302
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Homomorphic image of local ring is a local ring

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#commutative-algebra #ideals
34
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Surjection of kernels of a finite $A$-module endomorphism and induced free endomorphism.

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#commutative-algebra #modules
52
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"non-algebraically closed" or "not algebraically closed"?

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#commutative-algebra #field-theory
338
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Construction of tensor product of algebras $A \otimes_k B$ in the book "Algebraic geometry" by Milne

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#algebraic-geometry #commutative-algebra #algebraic-number-theory #tensor-products
39
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The integral condition

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#number-theory #commutative-algebra
106
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Is noetherian ring finite over subring of invariants of a finite group?

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#abstract-algebra #commutative-algebra #noetherian
124
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Finite product of semilocal rings is semilocal

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#commutative-algebra #maximal-and-prime-ideals
87
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Finite ring extensions doesn't preserve non-zero-divisors

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#commutative-algebra #noetherian
412
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Regular local rings are normal

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#abstract-algebra #commutative-algebra #local-rings
145
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Maximal subfields of a commutative algebra

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#abstract-algebra #commutative-algebra #galois-theory #galois-extensions #separable-extension
858
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Spectrum of Artinian ring

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#abstract-algebra #algebraic-geometry #commutative-algebra
45
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About valuation and domination

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#abstract-algebra #algebraic-geometry #commutative-algebra

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