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Parallel lines over finite fields

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#abstract-algebra #group-theory #geometry #finite-groups #finite-fields
198
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the understanding of $Z[i]/(2)$

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#abstract-algebra #ring-theory
126
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Proof for $Z^2$ not being cyclic

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#abstract-algebra #proof-verification
217
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Prime filters extending principal filters on the Heyting algebra generated by a preorder

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#abstract-algebra #general-topology #logic #duality-theorems #filters
36
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Is there a Left/Right algebra? Definition confusion...

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#abstract-algebra #ring-theory
254
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Why fully characteristic subgroup is normal?

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#abstract-algebra #group-theory #normal-subgroups
91
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Integral basis for a septic field

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#abstract-algebra #ring-theory #ideals
8.5k
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Find all the units and zero-divisors of $\Bbb Z_{15}$

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#abstract-algebra
137
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Is it true that if a polynomial $p(x)$ is irreducible over $\mathbb{Q}$ then it is also irreducible over $\mathbb{Z}$?

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#abstract-algebra #polynomials #rational-numbers
957
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How to prove if a set is a field or not?

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#linear-algebra #abstract-algebra
78
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I'm learning ring theory but just wanted some more information as my notes are limited

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#abstract-algebra
68
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Solving $u(f,g)/v(f,g)=f'$, where $f,g \in k[t]$

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#abstract-algebra #ordinary-differential-equations #polynomials #field-theory
114
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Different "eigenspaces" of a module automorphism with non-trivial intersection

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#linear-algebra #abstract-algebra #eigenvalues-eigenvectors #modules #free-modules
69
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Ideal, integral domain, PID, prime ideal

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#abstract-algebra
163
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The set of endomorphisms with their image contained in Jacobson radical is nilpotent ideal

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#abstract-algebra #modules #representation-theory

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