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Global sections of $X×_{\operatorname{Spec}(k)}\operatorname{Spec}(R)$

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#abstract-algebra #algebraic-geometry #commutative-algebra
389
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Rings isomorphic to a proper subring

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#abstract-algebra #ring-theory #commutative-algebra #noncommutative-algebra
42
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Is there a notion like "graded linear independence"?

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#abstract-algebra #polynomials #reference-request #commutative-algebra #soft-question
52
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Map induced on the global sections by maps of projective varieties

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#abstract-algebra #algebraic-geometry #commutative-algebra
63
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commutative Noetherian ring whose every maximal ideal is projective

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#commutative-algebra #modules #homological-algebra #noetherian #projective-module
64
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When $P\otimes_R M \to R \otimes_R M$ is injective for every (finitely generated) prime ideals $P$ of $R$?

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#algebraic-geometry #commutative-algebra #modules #homological-algebra #flatness
30
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On ideal and tensor product , retaining injectivity

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#algebraic-geometry #commutative-algebra #modules #homological-algebra #tensor-products
61
Views

Another question on ideal and tensor product

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#algebraic-geometry #commutative-algebra #modules #homological-algebra #tensor-products
66
Views

"smallest" field where a polynomial is reducible

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#commutative-algebra #field-theory #galois-theory #extension-field
175
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A 2-dimensional valuation domain

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#commutative-algebra #valuation-theory
50
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Are the following definitions of a local property equivalent?

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#abstract-algebra #ring-theory #commutative-algebra #localization
35
Views

Ideals and Field

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#abstract-algebra #commutative-algebra #field-theory #ideals
41
Views

2 "equivalent" definitions of $\mathbf{C}$-algebras.

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#commutative-algebra
39
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Units and ideal

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#abstract-algebra #commutative-algebra #ideals
61
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About the tensor product of module

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#commutative-algebra #tensor-products

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