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15
278
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On the kernel of the map $k[X,Y]\to k[T],X\mapsto T, Y\mapsto T$

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#abstract-algebra #polynomials #commutative-algebra
91
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Application Nakayama's Lemma for Field Extensions $L \vert K$

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#commutative-algebra #field-theory #dedekind-domain
113
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On monomial ideals and ring generated by monomials

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#algebraic-geometry #ring-theory #commutative-algebra #ideals #monomial-ideals
226
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A problem on existence of a zero of a polynomial in a finite field

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#polynomials #ring-theory #commutative-algebra
325
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Flat scheme over a Dedekind ring

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#algebraic-geometry #commutative-algebra #dedekind-domain #flatness
193
Views

Is every ideal in $K[x, y]$ of finite codimension necessarily prime?

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#abstract-algebra #ring-theory #vector-spaces #commutative-algebra
173
Views

Irreducible polynomial in $\mathbb C[x_1,x_2]$ also irreducible in $\mathbb C[x_1,x_2,...x_r]$?

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #irreducible-polynomials
225
Views

Commutative ring as a direct limit of Noetherian rings

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#commutative-algebra #category-theory #homological-algebra
251
Views

How does the Frobenius elements play a crucial role in Galois representation?

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#abstract-algebra #commutative-algebra
49
Views

Is it true "If $X \subset Y$ then $\Bbb I(Y) \subset \Bbb I(X)$"(proper inclusion)?

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#abstract-algebra #algebraic-geometry #ring-theory #commutative-algebra #ideals
63
Views

A question over Cohen–Macaulay local rings

Published on
#commutative-algebra
177
Views

Hartshorne Exercise 1.1.1(c)

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#algebraic-geometry #commutative-algebra
171
Views

Commutative rings as co-limit of Noetherian rings?

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#commutative-algebra #category-theory #homological-algebra #limits-colimits
149
Views

Is one sheafification enough for the module inverse image?

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#algebraic-geometry #commutative-algebra #category-theory #sheaf-theory
376
Views

The localization of an ideal is equal to the localization of the ring

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#abstract-algebra #ring-theory #commutative-algebra #ideals #localization

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