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Find the Galois group of x5−1 ∈ Q[x], its subgroup diagram and the corresponding subfield diagram...

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#abstract-algebra
437
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Possible Alternate Proof for Property of Polynomials with Nilpotent Coefficients?

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#abstract-algebra #polynomials #ring-theory
548
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Find a generator of the ideal $I = ⟨x^4 + x^3 − 3x^2 − 5x − 2, x^3 + 3x^2 − 6x − 8⟩ ⊆ \mathbb{Q}[x]$

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#abstract-algebra #polynomials #ideals
619
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Show that $G\neq\bigcup_{g\in G}gHg^{-1}$ for any $H\subsetneq G$

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#abstract-algebra #group-theory #group-actions
106
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What are the elements of this factor ring

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#abstract-algebra #ring-theory
1.6k
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Order of intersection of two subgroups

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#abstract-algebra #group-theory
50
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A code that is systematic on every set of k coordinates

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#abstract-algebra #combinatorics #coding-theory
561
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Examples of integral $k$-algebra

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#abstract-algebra #algebraic-geometry
54
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injective objects for section functor

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#abstract-algebra #category-theory #homological-algebra #sheaf-cohomology #functors
110
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Algebra over an algebraically closed field

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#abstract-algebra #ring-theory #modules
469
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Finding automorphisms of fields.

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#abstract-algebra #field-theory #automorphism-group
625
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Group of order 24 is solvable.

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#abstract-algebra #group-theory #solvable-groups
164
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Hilbert function of an Artinian ideal

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#abstract-algebra #commutative-algebra
108
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A reducibility of a polynomial $x^2+ax-a+2a^2$

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#abstract-algebra #field-theory #finite-fields #irreducible-polynomials
110
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Isomorphism of $A^{op} \otimes A$ and $End_k(A).$

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#abstract-algebra

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