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Any method to solve this system of equation?

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#sequences-and-series #field-theory #modular-arithmetic #finite-fields
64
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How do I find the ideals in the ring $\mathbb F_3[x]/(x^2+2)$?

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#abstract-algebra #ring-theory #finite-fields
192
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existence of irreducible polynomial of degree 10 over finite field

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#abstract-algebra #finite-fields
277
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relationship between monomorphism and automorphism

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#abstract-algebra #finite-fields #extension-field
136
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Using linear algebra operations over a finite field in MuPad

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#linear-algebra #finite-fields #matlab
65
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Theorem on Repeating Decimals

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#finite-fields #decimal-expansion #cyclotomic-polynomials
181
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Potential Frobenius automorphism question

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#abstract-algebra #field-theory #finite-fields
46
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$F$ be a finite field , then are there infinitely many polynomials $f(x) \in F[x]$ such that $f(a)=0 , \forall a \in F$ ?

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#polynomials #ring-theory #finite-fields
188
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An equation over a finite field

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#systems-of-equations #finite-fields
98
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Solving an equation involving the trace of a field

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#finite-fields #trace #exponential-sum
240
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Is this a hyperplane or a half-space in $\mathbb{F}_2^n$?

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#linear-algebra #vector-spaces #terminology #finite-fields
525
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finite fields: efficient primitive element test?

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#finite-fields
106
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Frobenius Map and Subfields of $\bar{\mathbb{F}}(x,y)$

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#abstract-algebra #field-theory #galois-theory #finite-fields
512
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Galois group is isomorphic to group of characters. What can we say then?

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#abstract-algebra #algebraic-number-theory #galois-theory #finite-fields
2.1k
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Irreducible implies Separable in a Finite Field

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#abstract-algebra #polynomials #field-theory #finite-fields #irreducible-polynomials

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