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How can I induce an exact sequence?

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#abstract-algebra #modules #ideals #exact-sequence
1.5k
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A Representation for A4 (Tetrahedral Group)

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#abstract-algebra #group-theory #permutations #representation-theory
181
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Fixed field and automorphisms. Galois Theory.

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#abstract-algebra #field-theory #galois-theory #extension-field
188
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$M_a=\{f\in C[0,1]~:~f(a)=0\}\ne\langle x-a\rangle$

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#real-analysis #abstract-algebra #functional-analysis #ring-theory #ideals
61
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Show that $\mathbb{Z} \bigotimes \mathbb{Z}=\mathbb{Z}$

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#abstract-algebra #tensor-products
122
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Must a finite group isomorphism have elements with identical order?

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#abstract-algebra #finite-groups
62
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Rings in which the "mistake" $(x + y) / d = x / d + y$ is justified

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#abstract-algebra #algebra-precalculus #ring-theory
143
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A question about how Galois group acts on elements in the extension.

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#abstract-algebra #field-theory #galois-theory #galois-extensions
241
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Show that the set $\{a+b\omega:\omega^3=1\}$ is a field

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#abstract-algebra
162
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The element of order 19

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#abstract-algebra #group-theory #finite-fields
286
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Prime Ideal Properly Contained in principal Ideal.

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#abstract-algebra #ring-theory #maximal-and-prime-ideals
66
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Equivalent Definition for Normal Subgroup

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#abstract-algebra
23
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Proof that a $\mathbb C[[h]]$-module homomorphism $V[[h]]\to W[[h]]$ is automatically $h$-adically continuous.

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#abstract-algebra #general-topology
488
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If two positively oriented bases define the same lattice, then there is a matrix in $\operatorname{SL}(2,\mathbb{Z})$ acting on this basis

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#abstract-algebra #complex-analysis #number-theory #elliptic-curves #modular-forms
54
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Which of the following field extensions are Galois?

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#abstract-algebra #field-theory #galois-theory

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